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Finding the Fourth Proportional to 695.12, 958.96 and 458.76

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Solution

The fourth proportional to 695.12, 958.96 and 458.76 is: 632.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.12 : 958.96 = 458.76 : x
  2. Step 2: Convert to fraction form
    695.12/958.96 = 458.76/x
  3. Step 3: Cross multiply
    695.12x = 958.96 × 458.76
  4. Step 4: Simplify right side
    695.12x = 439,930.20
  5. Step 5: Solve for x
    x = 439,930.20/695.12
  6. Step 6: Final answer
    x = 632.89

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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.