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Finding the Fourth Proportional to 720.22, 994.06 and 458.18

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Solution

The fourth proportional to 720.22, 994.06 and 458.18 is: 632.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.22 : 994.06 = 458.18 : x
  2. Step 2: Convert to fraction form
    720.22/994.06 = 458.18/x
  3. Step 3: Cross multiply
    720.22x = 994.06 × 458.18
  4. Step 4: Simplify right side
    720.22x = 455,458.41
  5. Step 5: Solve for x
    x = 455,458.41/720.22
  6. Step 6: Final answer
    x = 632.39

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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.