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Finding the Fourth Proportional to 424.10, 585.89 and 362.57

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Solution

The fourth proportional to 424.10, 585.89 and 362.57 is: 500.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.10 : 585.89 = 362.57 : x
  2. Step 2: Convert to fraction form
    424.10/585.89 = 362.57/x
  3. Step 3: Cross multiply
    424.10x = 585.89 × 362.57
  4. Step 4: Simplify right side
    424.10x = 212,421.40
  5. Step 5: Solve for x
    x = 212,421.40/424.10
  6. Step 6: Final answer
    x = 500.88

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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.