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Finding the Fourth Proportional to 412.07, 568.61 and 235.06

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Solution

The fourth proportional to 412.07, 568.61 and 235.06 is: 324.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.07 : 568.61 = 235.06 : x
  2. Step 2: Convert to fraction form
    412.07/568.61 = 235.06/x
  3. Step 3: Cross multiply
    412.07x = 568.61 × 235.06
  4. Step 4: Simplify right side
    412.07x = 133,654.87
  5. Step 5: Solve for x
    x = 133,654.87/412.07
  6. Step 6: Final answer
    x = 324.35

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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.