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Finding the Fourth Proportional to 648.37, 894.77 and 353.65

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Solution

The fourth proportional to 648.37, 894.77 and 353.65 is: 488.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.37 : 894.77 = 353.65 : x
  2. Step 2: Convert to fraction form
    648.37/894.77 = 353.65/x
  3. Step 3: Cross multiply
    648.37x = 894.77 × 353.65
  4. Step 4: Simplify right side
    648.37x = 316,432.73
  5. Step 5: Solve for x
    x = 316,432.73/648.37
  6. Step 6: Final answer
    x = 488.05

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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.