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Finding the Fourth Proportional to 720.60, 994.40 and 410.10

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Solution

The fourth proportional to 720.60, 994.40 and 410.10 is: 565.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.60 : 994.40 = 410.10 : x
  2. Step 2: Convert to fraction form
    720.60/994.40 = 410.10/x
  3. Step 3: Cross multiply
    720.60x = 994.40 × 410.10
  4. Step 4: Simplify right side
    720.60x = 407,803.44
  5. Step 5: Solve for x
    x = 407,803.44/720.60
  6. Step 6: Final answer
    x = 565.92

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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.