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Finding the Fourth Proportional to 501.86, 692.51 and 292.04

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Solution

The fourth proportional to 501.86, 692.51 and 292.04 is: 402.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.86 : 692.51 = 292.04 : x
  2. Step 2: Convert to fraction form
    501.86/692.51 = 292.04/x
  3. Step 3: Cross multiply
    501.86x = 692.51 × 292.04
  4. Step 4: Simplify right side
    501.86x = 202,235.70
  5. Step 5: Solve for x
    x = 202,235.70/501.86
  6. Step 6: Final answer
    x = 402.98

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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.