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Finding the Fourth Proportional to 540.54, 809.64 and 283.50

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Solution

The fourth proportional to 540.54, 809.64 and 283.50 is: 424.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.54 : 809.64 = 283.50 : x
  2. Step 2: Convert to fraction form
    540.54/809.64 = 283.50/x
  3. Step 3: Cross multiply
    540.54x = 809.64 × 283.50
  4. Step 4: Simplify right side
    540.54x = 229,532.94
  5. Step 5: Solve for x
    x = 229,532.94/540.54
  6. Step 6: Final answer
    x = 424.64

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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.