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Finding the Fourth Proportional to 407.39, 562.34 and 297.43

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Solution

The fourth proportional to 407.39, 562.34 and 297.43 is: 410.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.39 : 562.34 = 297.43 : x
  2. Step 2: Convert to fraction form
    407.39/562.34 = 297.43/x
  3. Step 3: Cross multiply
    407.39x = 562.34 × 297.43
  4. Step 4: Simplify right side
    407.39x = 167,256.12
  5. Step 5: Solve for x
    x = 167,256.12/407.39
  6. Step 6: Final answer
    x = 410.56

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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.