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Finding the Fourth Proportional to 923.52, 1,384.32 and 410.88

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Solution

The fourth proportional to 923.52, 1,384.32 and 410.88 is: 615.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.52 : 1,384.32 = 410.88 : x
  2. Step 2: Convert to fraction form
    923.52/1,384.32 = 410.88/x
  3. Step 3: Cross multiply
    923.52x = 1,384.32 × 410.88
  4. Step 4: Simplify right side
    923.52x = 568,789.40
  5. Step 5: Solve for x
    x = 568,789.40/923.52
  6. Step 6: Final answer
    x = 615.89

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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.