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Finding the Fourth Proportional to 600.24, 830.16 and 477.12

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Solution

The fourth proportional to 600.24, 830.16 and 477.12 is: 659.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.24 : 830.16 = 477.12 : x
  2. Step 2: Convert to fraction form
    600.24/830.16 = 477.12/x
  3. Step 3: Cross multiply
    600.24x = 830.16 × 477.12
  4. Step 4: Simplify right side
    600.24x = 396,085.94
  5. Step 5: Solve for x
    x = 396,085.94/600.24
  6. Step 6: Final answer
    x = 659.88

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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.