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Finding the Fourth Proportional to 650.78, 898.08 and 402.04

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Solution

The fourth proportional to 650.78, 898.08 and 402.04 is: 554.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.78 : 898.08 = 402.04 : x
  2. Step 2: Convert to fraction form
    650.78/898.08 = 402.04/x
  3. Step 3: Cross multiply
    650.78x = 898.08 × 402.04
  4. Step 4: Simplify right side
    650.78x = 361,064.08
  5. Step 5: Solve for x
    x = 361,064.08/650.78
  6. Step 6: Final answer
    x = 554.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.