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Finding the Fourth Proportional to 547.84, 822.66 and 360.52

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Solution

The fourth proportional to 547.84, 822.66 and 360.52 is: 541.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.84 : 822.66 = 360.52 : x
  2. Step 2: Convert to fraction form
    547.84/822.66 = 360.52/x
  3. Step 3: Cross multiply
    547.84x = 822.66 × 360.52
  4. Step 4: Simplify right side
    547.84x = 296,585.38
  5. Step 5: Solve for x
    x = 296,585.38/547.84
  6. Step 6: Final answer
    x = 541.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.