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Finding the Fourth Proportional to 547.32, 755.32 and 298.64

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Solution

The fourth proportional to 547.32, 755.32 and 298.64 is: 412.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.32 : 755.32 = 298.64 : x
  2. Step 2: Convert to fraction form
    547.32/755.32 = 298.64/x
  3. Step 3: Cross multiply
    547.32x = 755.32 × 298.64
  4. Step 4: Simplify right side
    547.32x = 225,569.91
  5. Step 5: Solve for x
    x = 225,569.91/547.32
  6. Step 6: Final answer
    x = 412.14

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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.