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Finding the Fourth Proportional to 720.76, 994.64 and 410.24

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Solution

The fourth proportional to 720.76, 994.64 and 410.24 is: 566.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.76 : 994.64 = 410.24 : x
  2. Step 2: Convert to fraction form
    720.76/994.64 = 410.24/x
  3. Step 3: Cross multiply
    720.76x = 994.64 × 410.24
  4. Step 4: Simplify right side
    720.76x = 408,041.11
  5. Step 5: Solve for x
    x = 408,041.11/720.76
  6. Step 6: Final answer
    x = 566.13

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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.