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Finding the Fourth Proportional to 695.40, 958.56 and 462.12

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Solution

The fourth proportional to 695.40, 958.56 and 462.12 is: 637.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.40 : 958.56 = 462.12 : x
  2. Step 2: Convert to fraction form
    695.40/958.56 = 462.12/x
  3. Step 3: Cross multiply
    695.40x = 958.56 × 462.12
  4. Step 4: Simplify right side
    695.40x = 442,969.75
  5. Step 5: Solve for x
    x = 442,969.75/695.40
  6. Step 6: Final answer
    x = 637.00

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