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Finding the Fourth Proportional to 473.30, 652.05 and 451.43

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Solution

The fourth proportional to 473.30, 652.05 and 451.43 is: 621.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.30 : 652.05 = 451.43 : x
  2. Step 2: Convert to fraction form
    473.30/652.05 = 451.43/x
  3. Step 3: Cross multiply
    473.30x = 652.05 × 451.43
  4. Step 4: Simplify right side
    473.30x = 294,351.67
  5. Step 5: Solve for x
    x = 294,351.67/473.30
  6. Step 6: Final answer
    x = 621.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.