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Finding the Fourth Proportional to 407.96, 562.98 and 314.54

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Solution

The fourth proportional to 407.96, 562.98 and 314.54 is: 434.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.96 : 562.98 = 314.54 : x
  2. Step 2: Convert to fraction form
    407.96/562.98 = 314.54/x
  3. Step 3: Cross multiply
    407.96x = 562.98 × 314.54
  4. Step 4: Simplify right side
    407.96x = 177,076.91
  5. Step 5: Solve for x
    x = 177,076.91/407.96
  6. Step 6: Final answer
    x = 434.06

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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.