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Finding the Fourth Proportional to 412.48, 568.80 and 281.50

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Solution

The fourth proportional to 412.48, 568.80 and 281.50 is: 388.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.48 : 568.80 = 281.50 : x
  2. Step 2: Convert to fraction form
    412.48/568.80 = 281.50/x
  3. Step 3: Cross multiply
    412.48x = 568.80 × 281.50
  4. Step 4: Simplify right side
    412.48x = 160,117.20
  5. Step 5: Solve for x
    x = 160,117.20/412.48
  6. Step 6: Final answer
    x = 388.18

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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.