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Finding the Fourth Proportional to 609, 917.64 and 542.70

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Solution

The fourth proportional to 609, 917.64 and 542.70 is: 817.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    609 : 917.64 = 542.70 : x
  2. Step 2: Convert to fraction form
    609/917.64 = 542.70/x
  3. Step 3: Cross multiply
    609x = 917.64 × 542.70
  4. Step 4: Simplify right side
    609x = 498,003.23
  5. Step 5: Solve for x
    x = 498,003.23/609
  6. Step 6: Final answer
    x = 817.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.