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Finding the Fourth Proportional to 648.02, 894.18 and 382.40

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Solution

The fourth proportional to 648.02, 894.18 and 382.40 is: 527.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.02 : 894.18 = 382.40 : x
  2. Step 2: Convert to fraction form
    648.02/894.18 = 382.40/x
  3. Step 3: Cross multiply
    648.02x = 894.18 × 382.40
  4. Step 4: Simplify right side
    648.02x = 341,934.43
  5. Step 5: Solve for x
    x = 341,934.43/648.02
  6. Step 6: Final answer
    x = 527.66

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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.