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Finding the Fourth Proportional to 922.88, 1,384.56 and 410.24

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Solution

The fourth proportional to 922.88, 1,384.56 and 410.24 is: 615.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.88 : 1,384.56 = 410.24 : x
  2. Step 2: Convert to fraction form
    922.88/1,384.56 = 410.24/x
  3. Step 3: Cross multiply
    922.88x = 1,384.56 × 410.24
  4. Step 4: Simplify right side
    922.88x = 568,001.89
  5. Step 5: Solve for x
    x = 568,001.89/922.88
  6. Step 6: Final answer
    x = 615.47

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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.