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Finding the Fourth Proportional to 705, 972.72 and 442.96

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Solution

The fourth proportional to 705, 972.72 and 442.96 is: 611.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    705 : 972.72 = 442.96 : x
  2. Step 2: Convert to fraction form
    705/972.72 = 442.96/x
  3. Step 3: Cross multiply
    705x = 972.72 × 442.96
  4. Step 4: Simplify right side
    705x = 430,876.05
  5. Step 5: Solve for x
    x = 430,876.05/705
  6. Step 6: Final answer
    x = 611.17

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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.