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Finding the Fourth Proportional to 689.96, 1,034.40 and 304.76

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Solution

The fourth proportional to 689.96, 1,034.40 and 304.76 is: 456.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.96 : 1,034.40 = 304.76 : x
  2. Step 2: Convert to fraction form
    689.96/1,034.40 = 304.76/x
  3. Step 3: Cross multiply
    689.96x = 1,034.40 × 304.76
  4. Step 4: Simplify right side
    689.96x = 315,243.74
  5. Step 5: Solve for x
    x = 315,243.74/689.96
  6. Step 6: Final answer
    x = 456.90

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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.