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Finding the Fourth Proportional to 407.59, 562.10 and 314.19

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Solution

The fourth proportional to 407.59, 562.10 and 314.19 is: 433.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.59 : 562.10 = 314.19 : x
  2. Step 2: Convert to fraction form
    407.59/562.10 = 314.19/x
  3. Step 3: Cross multiply
    407.59x = 562.10 × 314.19
  4. Step 4: Simplify right side
    407.59x = 176,602.52
  5. Step 5: Solve for x
    x = 176,602.52/407.59
  6. Step 6: Final answer
    x = 433.28

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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.