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Finding the Fourth Proportional to 962.02, 1,443.12 and 346.08

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Solution

The fourth proportional to 962.02, 1,443.12 and 346.08 is: 519.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.02 : 1,443.12 = 346.08 : x
  2. Step 2: Convert to fraction form
    962.02/1,443.12 = 346.08/x
  3. Step 3: Cross multiply
    962.02x = 1,443.12 × 346.08
  4. Step 4: Simplify right side
    962.02x = 499,434.97
  5. Step 5: Solve for x
    x = 499,434.97/962.02
  6. Step 6: Final answer
    x = 519.15

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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.