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Finding the Fourth Proportional to 477.24, 660.06 and 452.96

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Solution

The fourth proportional to 477.24, 660.06 and 452.96 is: 626.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.24 : 660.06 = 452.96 : x
  2. Step 2: Convert to fraction form
    477.24/660.06 = 452.96/x
  3. Step 3: Cross multiply
    477.24x = 660.06 × 452.96
  4. Step 4: Simplify right side
    477.24x = 298,980.78
  5. Step 5: Solve for x
    x = 298,980.78/477.24
  6. Step 6: Final answer
    x = 626.48

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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.