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Finding the Fourth Proportional to 364.52, 542.81 and 360.48

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Solution

The fourth proportional to 364.52, 542.81 and 360.48 is: 536.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.52 : 542.81 = 360.48 : x
  2. Step 2: Convert to fraction form
    364.52/542.81 = 360.48/x
  3. Step 3: Cross multiply
    364.52x = 542.81 × 360.48
  4. Step 4: Simplify right side
    364.52x = 195,672.15
  5. Step 5: Solve for x
    x = 195,672.15/364.52
  6. Step 6: Final answer
    x = 536.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.