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Finding the Fourth Proportional to 649.32, 974.33 and 352.82

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Solution

The fourth proportional to 649.32, 974.33 and 352.82 is: 529.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.32 : 974.33 = 352.82 : x
  2. Step 2: Convert to fraction form
    649.32/974.33 = 352.82/x
  3. Step 3: Cross multiply
    649.32x = 974.33 × 352.82
  4. Step 4: Simplify right side
    649.32x = 343,763.11
  5. Step 5: Solve for x
    x = 343,763.11/649.32
  6. Step 6: Final answer
    x = 529.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.