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Finding the Fourth Proportional to 962.79, 1,444.19 and 346.38

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Solution

The fourth proportional to 962.79, 1,444.19 and 346.38 is: 519.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.79 : 1,444.19 = 346.38 : x
  2. Step 2: Convert to fraction form
    962.79/1,444.19 = 346.38/x
  3. Step 3: Cross multiply
    962.79x = 1,444.19 × 346.38
  4. Step 4: Simplify right side
    962.79x = 500,236.80
  5. Step 5: Solve for x
    x = 500,236.80/962.79
  6. Step 6: Final answer
    x = 519.57

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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.