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Finding the Fourth Proportional to 540.65, 746.45 and 416.09

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Solution

The fourth proportional to 540.65, 746.45 and 416.09 is: 574.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.65 : 746.45 = 416.09 : x
  2. Step 2: Convert to fraction form
    540.65/746.45 = 416.09/x
  3. Step 3: Cross multiply
    540.65x = 746.45 × 416.09
  4. Step 4: Simplify right side
    540.65x = 310,586.13
  5. Step 5: Solve for x
    x = 310,586.13/540.65
  6. Step 6: Final answer
    x = 574.47

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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.