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Finding the Fourth Proportional to 390.52, 538.78 and 233.16

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Solution

The fourth proportional to 390.52, 538.78 and 233.16 is: 321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.52 : 538.78 = 233.16 : x
  2. Step 2: Convert to fraction form
    390.52/538.78 = 233.16/x
  3. Step 3: Cross multiply
    390.52x = 538.78 × 233.16
  4. Step 4: Simplify right side
    390.52x = 125,621.94
  5. Step 5: Solve for x
    x = 125,621.94/390.52
  6. Step 6: Final answer
    x = 321.68

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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.