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Finding the Fourth Proportional to 652.17, 977.89 and 446.97

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Solution

The fourth proportional to 652.17, 977.89 and 446.97 is: 670.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.17 : 977.89 = 446.97 : x
  2. Step 2: Convert to fraction form
    652.17/977.89 = 446.97/x
  3. Step 3: Cross multiply
    652.17x = 977.89 × 446.97
  4. Step 4: Simplify right side
    652.17x = 437,087.49
  5. Step 5: Solve for x
    x = 437,087.49/652.17
  6. Step 6: Final answer
    x = 670.20

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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.