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Finding the Fourth Proportional to 600.72, 829.08 and 575.16

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Solution

The fourth proportional to 600.72, 829.08 and 575.16 is: 793.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.72 : 829.08 = 575.16 : x
  2. Step 2: Convert to fraction form
    600.72/829.08 = 575.16/x
  3. Step 3: Cross multiply
    600.72x = 829.08 × 575.16
  4. Step 4: Simplify right side
    600.72x = 476,853.65
  5. Step 5: Solve for x
    x = 476,853.65/600.72
  6. Step 6: Final answer
    x = 793.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.