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Finding the Fourth Proportional to 648.18, 971.82 and 319.08

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Solution

The fourth proportional to 648.18, 971.82 and 319.08 is: 478.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.18 : 971.82 = 319.08 : x
  2. Step 2: Convert to fraction form
    648.18/971.82 = 319.08/x
  3. Step 3: Cross multiply
    648.18x = 971.82 × 319.08
  4. Step 4: Simplify right side
    648.18x = 310,088.33
  5. Step 5: Solve for x
    x = 310,088.33/648.18
  6. Step 6: Final answer
    x = 478.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.