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Finding the Fourth Proportional to 600.59, 824.89 and 534.98

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Solution

The fourth proportional to 600.59, 824.89 and 534.98 is: 734.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.59 : 824.89 = 534.98 : x
  2. Step 2: Convert to fraction form
    600.59/824.89 = 534.98/x
  3. Step 3: Cross multiply
    600.59x = 824.89 × 534.98
  4. Step 4: Simplify right side
    600.59x = 441,299.65
  5. Step 5: Solve for x
    x = 441,299.65/600.59
  6. Step 6: Final answer
    x = 734.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.