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Finding the Fourth Proportional to 568.42, 852.63 and 260.49

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Solution

The fourth proportional to 568.42, 852.63 and 260.49 is: 390.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.42 : 852.63 = 260.49 : x
  2. Step 2: Convert to fraction form
    568.42/852.63 = 260.49/x
  3. Step 3: Cross multiply
    568.42x = 852.63 × 260.49
  4. Step 4: Simplify right side
    568.42x = 222,101.41
  5. Step 5: Solve for x
    x = 222,101.41/568.42
  6. Step 6: Final answer
    x = 390.74

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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.