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Finding the Fourth Proportional to 356.80, 535.20 and 284.80

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Solution

The fourth proportional to 356.80, 535.20 and 284.80 is: 427.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.80 : 535.20 = 284.80 : x
  2. Step 2: Convert to fraction form
    356.80/535.20 = 284.80/x
  3. Step 3: Cross multiply
    356.80x = 535.20 × 284.80
  4. Step 4: Simplify right side
    356.80x = 152,424.96
  5. Step 5: Solve for x
    x = 152,424.96/356.80
  6. Step 6: Final answer
    x = 427.20

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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.