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Finding the Fourth Proportional to 962.41, 1,443.48 and 346.02

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Solution

The fourth proportional to 962.41, 1,443.48 and 346.02 is: 518.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.41 : 1,443.48 = 346.02 : x
  2. Step 2: Convert to fraction form
    962.41/1,443.48 = 346.02/x
  3. Step 3: Cross multiply
    962.41x = 1,443.48 × 346.02
  4. Step 4: Simplify right side
    962.41x = 499,472.95
  5. Step 5: Solve for x
    x = 499,472.95/962.41
  6. Step 6: Final answer
    x = 518.98

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Why These Related Problems?

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