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Finding the Fourth Proportional to 962.16, 1,442.28 and 414

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Solution

The fourth proportional to 962.16, 1,442.28 and 414 is: 620.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.16 : 1,442.28 = 414 : x
  2. Step 2: Convert to fraction form
    962.16/1,442.28 = 414/x
  3. Step 3: Cross multiply
    962.16x = 1,442.28 × 414
  4. Step 4: Simplify right side
    962.16x = 597,103.92
  5. Step 5: Solve for x
    x = 597,103.92/962.16
  6. Step 6: Final answer
    x = 620.59

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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.