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Finding the Fourth Proportional to 720.23, 993.66 and 471.88

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Solution

The fourth proportional to 720.23, 993.66 and 471.88 is: 651.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.23 : 993.66 = 471.88 : x
  2. Step 2: Convert to fraction form
    720.23/993.66 = 471.88/x
  3. Step 3: Cross multiply
    720.23x = 993.66 × 471.88
  4. Step 4: Simplify right side
    720.23x = 468,883.31
  5. Step 5: Solve for x
    x = 468,883.31/720.23
  6. Step 6: Final answer
    x = 651.02

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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.