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Finding the Fourth Proportional to 650.16, 970.11 and 588.60

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Solution

The fourth proportional to 650.16, 970.11 and 588.60 is: 878.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.16 : 970.11 = 588.60 : x
  2. Step 2: Convert to fraction form
    650.16/970.11 = 588.60/x
  3. Step 3: Cross multiply
    650.16x = 970.11 × 588.60
  4. Step 4: Simplify right side
    650.16x = 571,006.75
  5. Step 5: Solve for x
    x = 571,006.75/650.16
  6. Step 6: Final answer
    x = 878.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.