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Finding the Fourth Proportional to 364.10, 542.57 and 362.75

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Solution

The fourth proportional to 364.10, 542.57 and 362.75 is: 540.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.10 : 542.57 = 362.75 : x
  2. Step 2: Convert to fraction form
    364.10/542.57 = 362.75/x
  3. Step 3: Cross multiply
    364.10x = 542.57 × 362.75
  4. Step 4: Simplify right side
    364.10x = 196,812.74
  5. Step 5: Solve for x
    x = 196,812.74/364.10
  6. Step 6: Final answer
    x = 540.55

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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.