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Finding the Fourth Proportional to 611.90, 917.67 and 265.15

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Solution

The fourth proportional to 611.90, 917.67 and 265.15 is: 397.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.90 : 917.67 = 265.15 : x
  2. Step 2: Convert to fraction form
    611.90/917.67 = 265.15/x
  3. Step 3: Cross multiply
    611.90x = 917.67 × 265.15
  4. Step 4: Simplify right side
    611.90x = 243,320.20
  5. Step 5: Solve for x
    x = 243,320.20/611.90
  6. Step 6: Final answer
    x = 397.65

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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.