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Finding the Fourth Proportional to 530.35, 794.49 and 408.02

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Solution

The fourth proportional to 530.35, 794.49 and 408.02 is: 611.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.35 : 794.49 = 408.02 : x
  2. Step 2: Convert to fraction form
    530.35/794.49 = 408.02/x
  3. Step 3: Cross multiply
    530.35x = 794.49 × 408.02
  4. Step 4: Simplify right side
    530.35x = 324,163.84
  5. Step 5: Solve for x
    x = 324,163.84/530.35
  6. Step 6: Final answer
    x = 611.23

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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.