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Finding the Fourth Proportional to 705.05, 972.81 and 410.15

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Solution

The fourth proportional to 705.05, 972.81 and 410.15 is: 565.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.05 : 972.81 = 410.15 : x
  2. Step 2: Convert to fraction form
    705.05/972.81 = 410.15/x
  3. Step 3: Cross multiply
    705.05x = 972.81 × 410.15
  4. Step 4: Simplify right side
    705.05x = 398,995.97
  5. Step 5: Solve for x
    x = 398,995.97/705.05
  6. Step 6: Final answer
    x = 565.91

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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.