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Finding the Fourth Proportional to 304.34, 456.58 and 87.91

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Solution

The fourth proportional to 304.34, 456.58 and 87.91 is: 131.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.34 : 456.58 = 87.91 : x
  2. Step 2: Convert to fraction form
    304.34/456.58 = 87.91/x
  3. Step 3: Cross multiply
    304.34x = 456.58 × 87.91
  4. Step 4: Simplify right side
    304.34x = 40,137.95
  5. Step 5: Solve for x
    x = 40,137.95/304.34
  6. Step 6: Final answer
    x = 131.89

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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.