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Finding the Fourth Proportional to 615.74, 920.84 and 558.32

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Solution

The fourth proportional to 615.74, 920.84 and 558.32 is: 834.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.74 : 920.84 = 558.32 : x
  2. Step 2: Convert to fraction form
    615.74/920.84 = 558.32/x
  3. Step 3: Cross multiply
    615.74x = 920.84 × 558.32
  4. Step 4: Simplify right side
    615.74x = 514,120.18
  5. Step 5: Solve for x
    x = 514,120.18/615.74
  6. Step 6: Final answer
    x = 834.97

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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.