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Finding the Fourth Proportional to 568.48, 852.84 and 260.38

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Solution

The fourth proportional to 568.48, 852.84 and 260.38 is: 390.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.48 : 852.84 = 260.38 : x
  2. Step 2: Convert to fraction form
    568.48/852.84 = 260.38/x
  3. Step 3: Cross multiply
    568.48x = 852.84 × 260.38
  4. Step 4: Simplify right side
    568.48x = 222,062.48
  5. Step 5: Solve for x
    x = 222,062.48/568.48
  6. Step 6: Final answer
    x = 390.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.