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Finding the Fourth Proportional to 648.51, 971.46 and 442.57

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Solution

The fourth proportional to 648.51, 971.46 and 442.57 is: 662.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.51 : 971.46 = 442.57 : x
  2. Step 2: Convert to fraction form
    648.51/971.46 = 442.57/x
  3. Step 3: Cross multiply
    648.51x = 971.46 × 442.57
  4. Step 4: Simplify right side
    648.51x = 429,934.19
  5. Step 5: Solve for x
    x = 429,934.19/648.51
  6. Step 6: Final answer
    x = 662.96

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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.