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Finding the Fourth Proportional to 501.74, 692.32 and 291.88

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Solution

The fourth proportional to 501.74, 692.32 and 291.88 is: 402.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.74 : 692.32 = 291.88 : x
  2. Step 2: Convert to fraction form
    501.74/692.32 = 291.88/x
  3. Step 3: Cross multiply
    501.74x = 692.32 × 291.88
  4. Step 4: Simplify right side
    501.74x = 202,074.36
  5. Step 5: Solve for x
    x = 202,074.36/501.74
  6. Step 6: Final answer
    x = 402.75

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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.