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Finding the Fourth Proportional to 501.75, 692.48 and 280.76

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Solution

The fourth proportional to 501.75, 692.48 and 280.76 is: 387.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.75 : 692.48 = 280.76 : x
  2. Step 2: Convert to fraction form
    501.75/692.48 = 280.76/x
  3. Step 3: Cross multiply
    501.75x = 692.48 × 280.76
  4. Step 4: Simplify right side
    501.75x = 194,415.82
  5. Step 5: Solve for x
    x = 194,415.82/501.75
  6. Step 6: Final answer
    x = 387.48

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Find fourth proportional to 250.88, 346.24 and 140.38
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.