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Finding the Fourth Proportional to 424.71, 585.30 and 412.86

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Solution

The fourth proportional to 424.71, 585.30 and 412.86 is: 568.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.71 : 585.30 = 412.86 : x
  2. Step 2: Convert to fraction form
    424.71/585.30 = 412.86/x
  3. Step 3: Cross multiply
    424.71x = 585.30 × 412.86
  4. Step 4: Simplify right side
    424.71x = 241,646.96
  5. Step 5: Solve for x
    x = 241,646.96/424.71
  6. Step 6: Final answer
    x = 568.97

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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.