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Finding the Fourth Proportional to 615.96, 922.86 and 410.04

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Solution

The fourth proportional to 615.96, 922.86 and 410.04 is: 614.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.96 : 922.86 = 410.04 : x
  2. Step 2: Convert to fraction form
    615.96/922.86 = 410.04/x
  3. Step 3: Cross multiply
    615.96x = 922.86 × 410.04
  4. Step 4: Simplify right side
    615.96x = 378,409.51
  5. Step 5: Solve for x
    x = 378,409.51/615.96
  6. Step 6: Final answer
    x = 614.34

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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.