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Finding the Fourth Proportional to 538.47, 742.62 and 414.45

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Solution

The fourth proportional to 538.47, 742.62 and 414.45 is: 571.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.47 : 742.62 = 414.45 : x
  2. Step 2: Convert to fraction form
    538.47/742.62 = 414.45/x
  3. Step 3: Cross multiply
    538.47x = 742.62 × 414.45
  4. Step 4: Simplify right side
    538.47x = 307,778.86
  5. Step 5: Solve for x
    x = 307,778.86/538.47
  6. Step 6: Final answer
    x = 571.58

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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.