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Finding the Fourth Proportional to 424.88, 586.70 and 411.12

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Solution

The fourth proportional to 424.88, 586.70 and 411.12 is: 567.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.88 : 586.70 = 411.12 : x
  2. Step 2: Convert to fraction form
    424.88/586.70 = 411.12/x
  3. Step 3: Cross multiply
    424.88x = 586.70 × 411.12
  4. Step 4: Simplify right side
    424.88x = 241,204.10
  5. Step 5: Solve for x
    x = 241,204.10/424.88
  6. Step 6: Final answer
    x = 567.70

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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.