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Finding the Fourth Proportional to 610.66, 914.10 and 494.13

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Solution

The fourth proportional to 610.66, 914.10 and 494.13 is: 739.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.66 : 914.10 = 494.13 : x
  2. Step 2: Convert to fraction form
    610.66/914.10 = 494.13/x
  3. Step 3: Cross multiply
    610.66x = 914.10 × 494.13
  4. Step 4: Simplify right side
    610.66x = 451,681.76
  5. Step 5: Solve for x
    x = 451,681.76/610.66
  6. Step 6: Final answer
    x = 739.67

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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.