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Finding the Fourth Proportional to 547.78, 756.39 and 373.90

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Solution

The fourth proportional to 547.78, 756.39 and 373.90 is: 516.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.78 : 756.39 = 373.90 : x
  2. Step 2: Convert to fraction form
    547.78/756.39 = 373.90/x
  3. Step 3: Cross multiply
    547.78x = 756.39 × 373.90
  4. Step 4: Simplify right side
    547.78x = 282,814.22
  5. Step 5: Solve for x
    x = 282,814.22/547.78
  6. Step 6: Final answer
    x = 516.29

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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.