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Finding the Fourth Proportional to 648.32, 894.66 and 386.18

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Solution

The fourth proportional to 648.32, 894.66 and 386.18 is: 532.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.32 : 894.66 = 386.18 : x
  2. Step 2: Convert to fraction form
    648.32/894.66 = 386.18/x
  3. Step 3: Cross multiply
    648.32x = 894.66 × 386.18
  4. Step 4: Simplify right side
    648.32x = 345,499.80
  5. Step 5: Solve for x
    x = 345,499.80/648.32
  6. Step 6: Final answer
    x = 532.92

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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.