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Finding the Fourth Proportional to 407.62, 562.04 and 297.14

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Solution

The fourth proportional to 407.62, 562.04 and 297.14 is: 409.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.62 : 562.04 = 297.14 : x
  2. Step 2: Convert to fraction form
    407.62/562.04 = 297.14/x
  3. Step 3: Cross multiply
    407.62x = 562.04 × 297.14
  4. Step 4: Simplify right side
    407.62x = 167,004.57
  5. Step 5: Solve for x
    x = 167,004.57/407.62
  6. Step 6: Final answer
    x = 409.71

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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.