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Finding the Fourth Proportional to 648.15, 894.14 and 386.02

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Solution

The fourth proportional to 648.15, 894.14 and 386.02 is: 532.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.15 : 894.14 = 386.02 : x
  2. Step 2: Convert to fraction form
    648.15/894.14 = 386.02/x
  3. Step 3: Cross multiply
    648.15x = 894.14 × 386.02
  4. Step 4: Simplify right side
    648.15x = 345,151.53
  5. Step 5: Solve for x
    x = 345,151.53/648.15
  6. Step 6: Final answer
    x = 532.52

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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.