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Finding the Fourth Proportional to 942.47, 1,414.06 and 395.11

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Solution

The fourth proportional to 942.47, 1,414.06 and 395.11 is: 592.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.47 : 1,414.06 = 395.11 : x
  2. Step 2: Convert to fraction form
    942.47/1,414.06 = 395.11/x
  3. Step 3: Cross multiply
    942.47x = 1,414.06 × 395.11
  4. Step 4: Simplify right side
    942.47x = 558,710.03
  5. Step 5: Solve for x
    x = 558,710.03/942.47
  6. Step 6: Final answer
    x = 592.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.