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Finding the Fourth Proportional to 705.70, 972.33 and 472.42

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Solution

The fourth proportional to 705.70, 972.33 and 472.42 is: 650.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.70 : 972.33 = 472.42 : x
  2. Step 2: Convert to fraction form
    705.70/972.33 = 472.42/x
  3. Step 3: Cross multiply
    705.70x = 972.33 × 472.42
  4. Step 4: Simplify right side
    705.70x = 459,348.14
  5. Step 5: Solve for x
    x = 459,348.14/705.70
  6. Step 6: Final answer
    x = 650.91

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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.