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Finding the Fourth Proportional to 390.34, 538.60 and 232.98

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Solution

The fourth proportional to 390.34, 538.60 and 232.98 is: 321.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.34 : 538.60 = 232.98 : x
  2. Step 2: Convert to fraction form
    390.34/538.60 = 232.98/x
  3. Step 3: Cross multiply
    390.34x = 538.60 × 232.98
  4. Step 4: Simplify right side
    390.34x = 125,483.03
  5. Step 5: Solve for x
    x = 125,483.03/390.34
  6. Step 6: Final answer
    x = 321.47

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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.