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Finding the Fourth Proportional to 390.93, 539.42 and 233.63

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Solution

The fourth proportional to 390.93, 539.42 and 233.63 is: 322.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.93 : 539.42 = 233.63 : x
  2. Step 2: Convert to fraction form
    390.93/539.42 = 233.63/x
  3. Step 3: Cross multiply
    390.93x = 539.42 × 233.63
  4. Step 4: Simplify right side
    390.93x = 126,024.12
  5. Step 5: Solve for x
    x = 126,024.12/390.93
  6. Step 6: Final answer
    x = 322.37

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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.