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Finding the Fourth Proportional to 501.71, 692.13 and 291.83

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Solution

The fourth proportional to 501.71, 692.13 and 291.83 is: 402.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.71 : 692.13 = 291.83 : x
  2. Step 2: Convert to fraction form
    501.71/692.13 = 291.83/x
  3. Step 3: Cross multiply
    501.71x = 692.13 × 291.83
  4. Step 4: Simplify right side
    501.71x = 201,982.78
  5. Step 5: Solve for x
    x = 201,982.78/501.71
  6. Step 6: Final answer
    x = 402.59

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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.