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Finding the Fourth Proportional to 610.65, 842.67 and 345.14

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Solution

The fourth proportional to 610.65, 842.67 and 345.14 is: 476.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.65 : 842.67 = 345.14 : x
  2. Step 2: Convert to fraction form
    610.65/842.67 = 345.14/x
  3. Step 3: Cross multiply
    610.65x = 842.67 × 345.14
  4. Step 4: Simplify right side
    610.65x = 290,834.91
  5. Step 5: Solve for x
    x = 290,834.91/610.65
  6. Step 6: Final answer
    x = 476.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.