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Finding the Fourth Proportional to 695.36, 959.20 and 462.72

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Solution

The fourth proportional to 695.36, 959.20 and 462.72 is: 638.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.36 : 959.20 = 462.72 : x
  2. Step 2: Convert to fraction form
    695.36/959.20 = 462.72/x
  3. Step 3: Cross multiply
    695.36x = 959.20 × 462.72
  4. Step 4: Simplify right side
    695.36x = 443,841.02
  5. Step 5: Solve for x
    x = 443,841.02/695.36
  6. Step 6: Final answer
    x = 638.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.