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Finding the Fourth Proportional to 648.52, 971.66 and 429

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Solution

The fourth proportional to 648.52, 971.66 and 429 is: 642.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.52 : 971.66 = 429 : x
  2. Step 2: Convert to fraction form
    648.52/971.66 = 429/x
  3. Step 3: Cross multiply
    648.52x = 971.66 × 429
  4. Step 4: Simplify right side
    648.52x = 416,842.14
  5. Step 5: Solve for x
    x = 416,842.14/648.52
  6. Step 6: Final answer
    x = 642.76

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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.