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Finding the Fourth Proportional to 407.70, 562.17 and 297.54

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Solution

The fourth proportional to 407.70, 562.17 and 297.54 is: 410.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.70 : 562.17 = 297.54 : x
  2. Step 2: Convert to fraction form
    407.70/562.17 = 297.54/x
  3. Step 3: Cross multiply
    407.70x = 562.17 × 297.54
  4. Step 4: Simplify right side
    407.70x = 167,268.06
  5. Step 5: Solve for x
    x = 167,268.06/407.70
  6. Step 6: Final answer
    x = 410.27

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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.