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Finding the Fourth Proportional to 547.66, 756.76 and 416.44

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Solution

The fourth proportional to 547.66, 756.76 and 416.44 is: 575.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.66 : 756.76 = 416.44 : x
  2. Step 2: Convert to fraction form
    547.66/756.76 = 416.44/x
  3. Step 3: Cross multiply
    547.66x = 756.76 × 416.44
  4. Step 4: Simplify right side
    547.66x = 315,145.13
  5. Step 5: Solve for x
    x = 315,145.13/547.66
  6. Step 6: Final answer
    x = 575.44

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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.