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Finding the Fourth Proportional to 962.06, 1,443.21 and 414.32

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Solution

The fourth proportional to 962.06, 1,443.21 and 414.32 is: 621.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.06 : 1,443.21 = 414.32 : x
  2. Step 2: Convert to fraction form
    962.06/1,443.21 = 414.32/x
  3. Step 3: Cross multiply
    962.06x = 1,443.21 × 414.32
  4. Step 4: Simplify right side
    962.06x = 597,950.77
  5. Step 5: Solve for x
    x = 597,950.77/962.06
  6. Step 6: Final answer
    x = 621.53

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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.