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Finding the Fourth Proportional to 571.35, 855.66 and 542.65

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Solution

The fourth proportional to 571.35, 855.66 and 542.65 is: 812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.35 : 855.66 = 542.65 : x
  2. Step 2: Convert to fraction form
    571.35/855.66 = 542.65/x
  3. Step 3: Cross multiply
    571.35x = 855.66 × 542.65
  4. Step 4: Simplify right side
    571.35x = 464,325.40
  5. Step 5: Solve for x
    x = 464,325.40/571.35
  6. Step 6: Final answer
    x = 812.68

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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.