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Finding the Fourth Proportional to 402.50, 602.58 and 286.58

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Solution

The fourth proportional to 402.50, 602.58 and 286.58 is: 429.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.50 : 602.58 = 286.58 : x
  2. Step 2: Convert to fraction form
    402.50/602.58 = 286.58/x
  3. Step 3: Cross multiply
    402.50x = 602.58 × 286.58
  4. Step 4: Simplify right side
    402.50x = 172,687.38
  5. Step 5: Solve for x
    x = 172,687.38/402.50
  6. Step 6: Final answer
    x = 429.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.