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Finding the Fourth Proportional to 600.24, 900.64 and 542.80

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Solution

The fourth proportional to 600.24, 900.64 and 542.80 is: 814.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.24 : 900.64 = 542.80 : x
  2. Step 2: Convert to fraction form
    600.24/900.64 = 542.80/x
  3. Step 3: Cross multiply
    600.24x = 900.64 × 542.80
  4. Step 4: Simplify right side
    600.24x = 488,867.39
  5. Step 5: Solve for x
    x = 488,867.39/600.24
  6. Step 6: Final answer
    x = 814.45

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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.