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Finding the Fourth Proportional to 615.49, 917.37 and 580.90

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Solution

The fourth proportional to 615.49, 917.37 and 580.90 is: 865.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.49 : 917.37 = 580.90 : x
  2. Step 2: Convert to fraction form
    615.49/917.37 = 580.90/x
  3. Step 3: Cross multiply
    615.49x = 917.37 × 580.90
  4. Step 4: Simplify right side
    615.49x = 532,900.23
  5. Step 5: Solve for x
    x = 532,900.23/615.49
  6. Step 6: Final answer
    x = 865.81

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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.