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Finding the Fourth Proportional to 648.10, 972.34 and 301.64

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Solution

The fourth proportional to 648.10, 972.34 and 301.64 is: 452.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.10 : 972.34 = 301.64 : x
  2. Step 2: Convert to fraction form
    648.10/972.34 = 301.64/x
  3. Step 3: Cross multiply
    648.10x = 972.34 × 301.64
  4. Step 4: Simplify right side
    648.10x = 293,291.02
  5. Step 5: Solve for x
    x = 293,291.02/648.10
  6. Step 6: Final answer
    x = 452.54

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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.