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Finding the Fourth Proportional to 720.48, 994.24 and 410.08

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Solution

The fourth proportional to 720.48, 994.24 and 410.08 is: 565.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.48 : 994.24 = 410.08 : x
  2. Step 2: Convert to fraction form
    720.48/994.24 = 410.08/x
  3. Step 3: Cross multiply
    720.48x = 994.24 × 410.08
  4. Step 4: Simplify right side
    720.48x = 407,717.94
  5. Step 5: Solve for x
    x = 407,717.94/720.48
  6. Step 6: Final answer
    x = 565.90

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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.