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Finding the Fourth Proportional to 720.05, 993.33 and 457.88

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Solution

The fourth proportional to 720.05, 993.33 and 457.88 is: 631.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.05 : 993.33 = 457.88 : x
  2. Step 2: Convert to fraction form
    720.05/993.33 = 457.88/x
  3. Step 3: Cross multiply
    720.05x = 993.33 × 457.88
  4. Step 4: Simplify right side
    720.05x = 454,820.97
  5. Step 5: Solve for x
    x = 454,820.97/720.05
  6. Step 6: Final answer
    x = 631.66

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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.