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Finding the Fourth Proportional to 705, 972.84 and 425.28

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Solution

The fourth proportional to 705, 972.84 and 425.28 is: 586.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    705 : 972.84 = 425.28 : x
  2. Step 2: Convert to fraction form
    705/972.84 = 425.28/x
  3. Step 3: Cross multiply
    705x = 972.84 × 425.28
  4. Step 4: Simplify right side
    705x = 413,729.40
  5. Step 5: Solve for x
    x = 413,729.40/705
  6. Step 6: Final answer
    x = 586.85

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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.