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Finding the Fourth Proportional to 315.78, 435.65 and 233.08

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Solution

The fourth proportional to 315.78, 435.65 and 233.08 is: 321.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.78 : 435.65 = 233.08 : x
  2. Step 2: Convert to fraction form
    315.78/435.65 = 233.08/x
  3. Step 3: Cross multiply
    315.78x = 435.65 × 233.08
  4. Step 4: Simplify right side
    315.78x = 101,541.30
  5. Step 5: Solve for x
    x = 101,541.30/315.78
  6. Step 6: Final answer
    x = 321.56

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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.