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Finding the Fourth Proportional to 540.78, 809.70 and 283.74

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Solution

The fourth proportional to 540.78, 809.70 and 283.74 is: 424.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.78 : 809.70 = 283.74 : x
  2. Step 2: Convert to fraction form
    540.78/809.70 = 283.74/x
  3. Step 3: Cross multiply
    540.78x = 809.70 × 283.74
  4. Step 4: Simplify right side
    540.78x = 229,744.28
  5. Step 5: Solve for x
    x = 229,744.28/540.78
  6. Step 6: Final answer
    x = 424.84

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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.