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Finding the Fourth Proportional to 457.74, 630.18 and 399.54

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Solution

The fourth proportional to 457.74, 630.18 and 399.54 is: 550.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.74 : 630.18 = 399.54 : x
  2. Step 2: Convert to fraction form
    457.74/630.18 = 399.54/x
  3. Step 3: Cross multiply
    457.74x = 630.18 × 399.54
  4. Step 4: Simplify right side
    457.74x = 251,782.12
  5. Step 5: Solve for x
    x = 251,782.12/457.74
  6. Step 6: Final answer
    x = 550.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.