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Finding the Fourth Proportional to 547.24, 755.42 and 360.40

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Solution

The fourth proportional to 547.24, 755.42 and 360.40 is: 497.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.24 : 755.42 = 360.40 : x
  2. Step 2: Convert to fraction form
    547.24/755.42 = 360.40/x
  3. Step 3: Cross multiply
    547.24x = 755.42 × 360.40
  4. Step 4: Simplify right side
    547.24x = 272,256.40
  5. Step 5: Solve for x
    x = 272,256.40/547.24
  6. Step 6: Final answer
    x = 497.51

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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.