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Finding the Fourth Proportional to 610.00, 914.29 and 263.18

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Solution

The fourth proportional to 610.00, 914.29 and 263.18 is: 394.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.00 : 914.29 = 263.18 : x
  2. Step 2: Convert to fraction form
    610.00/914.29 = 263.18/x
  3. Step 3: Cross multiply
    610.00x = 914.29 × 263.18
  4. Step 4: Simplify right side
    610.00x = 240,624.47
  5. Step 5: Solve for x
    x = 240,624.47/610.00
  6. Step 6: Final answer
    x = 394.47

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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.