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Finding the Fourth Proportional to 506.59, 760.04 and 232.68

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Solution

The fourth proportional to 506.59, 760.04 and 232.68 is: 349.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.59 : 760.04 = 232.68 : x
  2. Step 2: Convert to fraction form
    506.59/760.04 = 232.68/x
  3. Step 3: Cross multiply
    506.59x = 760.04 × 232.68
  4. Step 4: Simplify right side
    506.59x = 176,848.67
  5. Step 5: Solve for x
    x = 176,848.67/506.59
  6. Step 6: Final answer
    x = 349.10

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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.