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Finding the Fourth Proportional to 540.06, 809.33 and 417.75

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Solution

The fourth proportional to 540.06, 809.33 and 417.75 is: 626.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.06 : 809.33 = 417.75 : x
  2. Step 2: Convert to fraction form
    540.06/809.33 = 417.75/x
  3. Step 3: Cross multiply
    540.06x = 809.33 × 417.75
  4. Step 4: Simplify right side
    540.06x = 338,095.52
  5. Step 5: Solve for x
    x = 338,095.52/540.06
  6. Step 6: Final answer
    x = 626.03

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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.