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Finding the Fourth Proportional to 610.14, 915.75 and 317.85

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Solution

The fourth proportional to 610.14, 915.75 and 317.85 is: 477.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.14 : 915.75 = 317.85 : x
  2. Step 2: Convert to fraction form
    610.14/915.75 = 317.85/x
  3. Step 3: Cross multiply
    610.14x = 915.75 × 317.85
  4. Step 4: Simplify right side
    610.14x = 291,071.14
  5. Step 5: Solve for x
    x = 291,071.14/610.14
  6. Step 6: Final answer
    x = 477.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.