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Finding the Fourth Proportional to 652.70, 977.28 and 447.66

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Solution

The fourth proportional to 652.70, 977.28 and 447.66 is: 670.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.70 : 977.28 = 447.66 : x
  2. Step 2: Convert to fraction form
    652.70/977.28 = 447.66/x
  3. Step 3: Cross multiply
    652.70x = 977.28 × 447.66
  4. Step 4: Simplify right side
    652.70x = 437,489.16
  5. Step 5: Solve for x
    x = 437,489.16/652.70
  6. Step 6: Final answer
    x = 670.28

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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.