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Finding the Fourth Proportional to 407.76, 562.80 and 283.50

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Solution

The fourth proportional to 407.76, 562.80 and 283.50 is: 391.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.76 : 562.80 = 283.50 : x
  2. Step 2: Convert to fraction form
    407.76/562.80 = 283.50/x
  3. Step 3: Cross multiply
    407.76x = 562.80 × 283.50
  4. Step 4: Simplify right side
    407.76x = 159,553.80
  5. Step 5: Solve for x
    x = 159,553.80/407.76
  6. Step 6: Final answer
    x = 391.29

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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.