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Finding the Fourth Proportional to 615.93, 922.32 and 410.19

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Solution

The fourth proportional to 615.93, 922.32 and 410.19 is: 614.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.93 : 922.32 = 410.19 : x
  2. Step 2: Convert to fraction form
    615.93/922.32 = 410.19/x
  3. Step 3: Cross multiply
    615.93x = 922.32 × 410.19
  4. Step 4: Simplify right side
    615.93x = 378,326.44
  5. Step 5: Solve for x
    x = 378,326.44/615.93
  6. Step 6: Final answer
    x = 614.24

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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.