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Finding the Fourth Proportional to 924.64, 1,387.24 and 347.60

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Solution

The fourth proportional to 924.64, 1,387.24 and 347.60 is: 521.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.64 : 1,387.24 = 347.60 : x
  2. Step 2: Convert to fraction form
    924.64/1,387.24 = 347.60/x
  3. Step 3: Cross multiply
    924.64x = 1,387.24 × 347.60
  4. Step 4: Simplify right side
    924.64x = 482,204.62
  5. Step 5: Solve for x
    x = 482,204.62/924.64
  6. Step 6: Final answer
    x = 521.51

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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.