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Finding the Fourth Proportional to 611.78, 917.51 and 265.10

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Solution

The fourth proportional to 611.78, 917.51 and 265.10 is: 397.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.78 : 917.51 = 265.10 : x
  2. Step 2: Convert to fraction form
    611.78/917.51 = 265.10/x
  3. Step 3: Cross multiply
    611.78x = 917.51 × 265.10
  4. Step 4: Simplify right side
    611.78x = 243,231.90
  5. Step 5: Solve for x
    x = 243,231.90/611.78
  6. Step 6: Final answer
    x = 397.58

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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.