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Finding the Fourth Proportional to 588.66, 882.99 and 315.06

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Solution

The fourth proportional to 588.66, 882.99 and 315.06 is: 472.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.66 : 882.99 = 315.06 : x
  2. Step 2: Convert to fraction form
    588.66/882.99 = 315.06/x
  3. Step 3: Cross multiply
    588.66x = 882.99 × 315.06
  4. Step 4: Simplify right side
    588.66x = 278,194.83
  5. Step 5: Solve for x
    x = 278,194.83/588.66
  6. Step 6: Final answer
    x = 472.59

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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.