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Finding the Fourth Proportional to 720.55, 994.37 and 410.05

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Solution

The fourth proportional to 720.55, 994.37 and 410.05 is: 565.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.55 : 994.37 = 410.05 : x
  2. Step 2: Convert to fraction form
    720.55/994.37 = 410.05/x
  3. Step 3: Cross multiply
    720.55x = 994.37 × 410.05
  4. Step 4: Simplify right side
    720.55x = 407,734.40
  5. Step 5: Solve for x
    x = 407,734.40/720.55
  6. Step 6: Final answer
    x = 565.87

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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.