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Finding the Fourth Proportional to 561.85, 839.44 and 542.71

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Solution

The fourth proportional to 561.85, 839.44 and 542.71 is: 810.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.85 : 839.44 = 542.71 : x
  2. Step 2: Convert to fraction form
    561.85/839.44 = 542.71/x
  3. Step 3: Cross multiply
    561.85x = 839.44 × 542.71
  4. Step 4: Simplify right side
    561.85x = 455,572.48
  5. Step 5: Solve for x
    x = 455,572.48/561.85
  6. Step 6: Final answer
    x = 810.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.