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Finding the Fourth Proportional to 406.76, 562.14 and 371.93

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Solution

The fourth proportional to 406.76, 562.14 and 371.93 is: 514.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.76 : 562.14 = 371.93 : x
  2. Step 2: Convert to fraction form
    406.76/562.14 = 371.93/x
  3. Step 3: Cross multiply
    406.76x = 562.14 × 371.93
  4. Step 4: Simplify right side
    406.76x = 209,073.92
  5. Step 5: Solve for x
    x = 209,073.92/406.76
  6. Step 6: Final answer
    x = 514.00

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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.