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Finding the Fourth Proportional to 720.32, 994.03 and 458.48

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Solution

The fourth proportional to 720.32, 994.03 and 458.48 is: 632.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.32 : 994.03 = 458.48 : x
  2. Step 2: Convert to fraction form
    720.32/994.03 = 458.48/x
  3. Step 3: Cross multiply
    720.32x = 994.03 × 458.48
  4. Step 4: Simplify right side
    720.32x = 455,742.87
  5. Step 5: Solve for x
    x = 455,742.87/720.32
  6. Step 6: Final answer
    x = 632.70

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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.