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Finding the Fourth Proportional to 962.19, 1,442.59 and 337.39

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Solution

The fourth proportional to 962.19, 1,442.59 and 337.39 is: 505.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.19 : 1,442.59 = 337.39 : x
  2. Step 2: Convert to fraction form
    962.19/1,442.59 = 337.39/x
  3. Step 3: Cross multiply
    962.19x = 1,442.59 × 337.39
  4. Step 4: Simplify right side
    962.19x = 486,710.99
  5. Step 5: Solve for x
    x = 486,710.99/962.19
  6. Step 6: Final answer
    x = 505.84

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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.