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Finding the Fourth Proportional to 705, 972.84 and 410.34

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Solution

The fourth proportional to 705, 972.84 and 410.34 is: 566.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    705 : 972.84 = 410.34 : x
  2. Step 2: Convert to fraction form
    705/972.84 = 410.34/x
  3. Step 3: Cross multiply
    705x = 972.84 × 410.34
  4. Step 4: Simplify right side
    705x = 399,195.17
  5. Step 5: Solve for x
    x = 399,195.17/705
  6. Step 6: Final answer
    x = 566.23

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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.