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Finding the Fourth Proportional to 543.24, 816.30 and 360.72

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Solution

The fourth proportional to 543.24, 816.30 and 360.72 is: 542.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.24 : 816.30 = 360.72 : x
  2. Step 2: Convert to fraction form
    543.24/816.30 = 360.72/x
  3. Step 3: Cross multiply
    543.24x = 816.30 × 360.72
  4. Step 4: Simplify right side
    543.24x = 294,455.74
  5. Step 5: Solve for x
    x = 294,455.74/543.24
  6. Step 6: Final answer
    x = 542.04

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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.