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Finding the Fourth Proportional to 501.68, 692.34 and 280.66

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Solution

The fourth proportional to 501.68, 692.34 and 280.66 is: 387.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.68 : 692.34 = 280.66 : x
  2. Step 2: Convert to fraction form
    501.68/692.34 = 280.66/x
  3. Step 3: Cross multiply
    501.68x = 692.34 × 280.66
  4. Step 4: Simplify right side
    501.68x = 194,312.14
  5. Step 5: Solve for x
    x = 194,312.14/501.68
  6. Step 6: Final answer
    x = 387.32

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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.