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Finding the Fourth Proportional to 648.34, 972.58 and 301.70

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Solution

The fourth proportional to 648.34, 972.58 and 301.70 is: 452.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.34 : 972.58 = 301.70 : x
  2. Step 2: Convert to fraction form
    648.34/972.58 = 301.70/x
  3. Step 3: Cross multiply
    648.34x = 972.58 × 301.70
  4. Step 4: Simplify right side
    648.34x = 293,427.39
  5. Step 5: Solve for x
    x = 293,427.39/648.34
  6. Step 6: Final answer
    x = 452.58

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