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Finding the Fourth Proportional to 648.02, 972.14 and 301.70

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Solution

The fourth proportional to 648.02, 972.14 and 301.70 is: 452.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.02 : 972.14 = 301.70 : x
  2. Step 2: Convert to fraction form
    648.02/972.14 = 301.70/x
  3. Step 3: Cross multiply
    648.02x = 972.14 × 301.70
  4. Step 4: Simplify right side
    648.02x = 293,294.64
  5. Step 5: Solve for x
    x = 293,294.64/648.02
  6. Step 6: Final answer
    x = 452.60

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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.