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Finding the Fourth Proportional to 695.90, 1,044.15 and 305.70

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Solution

The fourth proportional to 695.90, 1,044.15 and 305.70 is: 458.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.90 : 1,044.15 = 305.70 : x
  2. Step 2: Convert to fraction form
    695.90/1,044.15 = 305.70/x
  3. Step 3: Cross multiply
    695.90x = 1,044.15 × 305.70
  4. Step 4: Simplify right side
    695.90x = 319,196.66
  5. Step 5: Solve for x
    x = 319,196.66/695.90
  6. Step 6: Final answer
    x = 458.69

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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.