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Finding the Fourth Proportional to 540.55, 810.31 and 457.32

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Solution

The fourth proportional to 540.55, 810.31 and 457.32 is: 685.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.55 : 810.31 = 457.32 : x
  2. Step 2: Convert to fraction form
    540.55/810.31 = 457.32/x
  3. Step 3: Cross multiply
    540.55x = 810.31 × 457.32
  4. Step 4: Simplify right side
    540.55x = 370,570.97
  5. Step 5: Solve for x
    x = 370,570.97/540.55
  6. Step 6: Final answer
    x = 685.54

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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.