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Finding the Fourth Proportional to 610.65, 917.33 and 474.71

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Solution

The fourth proportional to 610.65, 917.33 and 474.71 is: 713.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.65 : 917.33 = 474.71 : x
  2. Step 2: Convert to fraction form
    610.65/917.33 = 474.71/x
  3. Step 3: Cross multiply
    610.65x = 917.33 × 474.71
  4. Step 4: Simplify right side
    610.65x = 435,458.76
  5. Step 5: Solve for x
    x = 435,458.76/610.65
  6. Step 6: Final answer
    x = 713.11

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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.