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Finding the Fourth Proportional to 694.02, 958.02 and 432.20

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Solution

The fourth proportional to 694.02, 958.02 and 432.20 is: 596.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.02 : 958.02 = 432.20 : x
  2. Step 2: Convert to fraction form
    694.02/958.02 = 432.20/x
  3. Step 3: Cross multiply
    694.02x = 958.02 × 432.20
  4. Step 4: Simplify right side
    694.02x = 414,056.24
  5. Step 5: Solve for x
    x = 414,056.24/694.02
  6. Step 6: Final answer
    x = 596.61

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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.