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Finding the Fourth Proportional to 962.56, 1,443.66 and 337.76

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Solution

The fourth proportional to 962.56, 1,443.66 and 337.76 is: 506.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.56 : 1,443.66 = 337.76 : x
  2. Step 2: Convert to fraction form
    962.56/1,443.66 = 337.76/x
  3. Step 3: Cross multiply
    962.56x = 1,443.66 × 337.76
  4. Step 4: Simplify right side
    962.56x = 487,610.60
  5. Step 5: Solve for x
    x = 487,610.60/962.56
  6. Step 6: Final answer
    x = 506.58

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