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Finding the Fourth Proportional to 600.24, 899.76 and 455.52

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Solution

The fourth proportional to 600.24, 899.76 and 455.52 is: 682.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.24 : 899.76 = 455.52 : x
  2. Step 2: Convert to fraction form
    600.24/899.76 = 455.52/x
  3. Step 3: Cross multiply
    600.24x = 899.76 × 455.52
  4. Step 4: Simplify right side
    600.24x = 409,858.68
  5. Step 5: Solve for x
    x = 409,858.68/600.24
  6. Step 6: Final answer
    x = 682.82

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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.