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Finding the Fourth Proportional to 578.75, 869.13 and 552.69

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Solution

The fourth proportional to 578.75, 869.13 and 552.69 is: 830.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.75 : 869.13 = 552.69 : x
  2. Step 2: Convert to fraction form
    578.75/869.13 = 552.69/x
  3. Step 3: Cross multiply
    578.75x = 869.13 × 552.69
  4. Step 4: Simplify right side
    578.75x = 480,359.46
  5. Step 5: Solve for x
    x = 480,359.46/578.75
  6. Step 6: Final answer
    x = 830.00

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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.