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Finding the Fourth Proportional to 600.12, 897.48 and 535.50

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Solution

The fourth proportional to 600.12, 897.48 and 535.50 is: 800.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.12 : 897.48 = 535.50 : x
  2. Step 2: Convert to fraction form
    600.12/897.48 = 535.50/x
  3. Step 3: Cross multiply
    600.12x = 897.48 × 535.50
  4. Step 4: Simplify right side
    600.12x = 480,600.54
  5. Step 5: Solve for x
    x = 480,600.54/600.12
  6. Step 6: Final answer
    x = 800.84

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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.