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Finding the Fourth Proportional to 407.67, 562.35 and 296.97

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Solution

The fourth proportional to 407.67, 562.35 and 296.97 is: 409.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.67 : 562.35 = 296.97 : x
  2. Step 2: Convert to fraction form
    407.67/562.35 = 296.97/x
  3. Step 3: Cross multiply
    407.67x = 562.35 × 296.97
  4. Step 4: Simplify right side
    407.67x = 167,001.08
  5. Step 5: Solve for x
    x = 167,001.08/407.67
  6. Step 6: Final answer
    x = 409.65

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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.