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Finding the Fourth Proportional to 457.48, 685.14 and 360.64

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Solution

The fourth proportional to 457.48, 685.14 and 360.64 is: 540.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.48 : 685.14 = 360.64 : x
  2. Step 2: Convert to fraction form
    457.48/685.14 = 360.64/x
  3. Step 3: Cross multiply
    457.48x = 685.14 × 360.64
  4. Step 4: Simplify right side
    457.48x = 247,088.89
  5. Step 5: Solve for x
    x = 247,088.89/457.48
  6. Step 6: Final answer
    x = 540.11

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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.