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Finding the Fourth Proportional to 720.84, 994.50 and 410.16

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Solution

The fourth proportional to 720.84, 994.50 and 410.16 is: 565.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.84 : 994.50 = 410.16 : x
  2. Step 2: Convert to fraction form
    720.84/994.50 = 410.16/x
  3. Step 3: Cross multiply
    720.84x = 994.50 × 410.16
  4. Step 4: Simplify right side
    720.84x = 407,904.12
  5. Step 5: Solve for x
    x = 407,904.12/720.84
  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.