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Finding the Fourth Proportional to 648.34, 894.65 and 353.60

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Solution

The fourth proportional to 648.34, 894.65 and 353.60 is: 487.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.34 : 894.65 = 353.60 : x
  2. Step 2: Convert to fraction form
    648.34/894.65 = 353.60/x
  3. Step 3: Cross multiply
    648.34x = 894.65 × 353.60
  4. Step 4: Simplify right side
    648.34x = 316,345.35
  5. Step 5: Solve for x
    x = 316,345.35/648.34
  6. Step 6: Final answer
    x = 487.93

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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.