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Finding the Fourth Proportional to 407.96, 562.61 and 314.57

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Solution

The fourth proportional to 407.96, 562.61 and 314.57 is: 433.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.96 : 562.61 = 314.57 : x
  2. Step 2: Convert to fraction form
    407.96/562.61 = 314.57/x
  3. Step 3: Cross multiply
    407.96x = 562.61 × 314.57
  4. Step 4: Simplify right side
    407.96x = 176,978.20
  5. Step 5: Solve for x
    x = 176,978.20/407.96
  6. Step 6: Final answer
    x = 433.81

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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.