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Finding the Fourth Proportional to 648.12, 894.33 and 364.56

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Solution

The fourth proportional to 648.12, 894.33 and 364.56 is: 503.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.12 : 894.33 = 364.56 : x
  2. Step 2: Convert to fraction form
    648.12/894.33 = 364.56/x
  3. Step 3: Cross multiply
    648.12x = 894.33 × 364.56
  4. Step 4: Simplify right side
    648.12x = 326,036.94
  5. Step 5: Solve for x
    x = 326,036.94/648.12
  6. Step 6: Final answer
    x = 503.05

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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.