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Finding the Fourth Proportional to 456.40, 685.32 and 360.64

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Solution

The fourth proportional to 456.40, 685.32 and 360.64 is: 541.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.40 : 685.32 = 360.64 : x
  2. Step 2: Convert to fraction form
    456.40/685.32 = 360.64/x
  3. Step 3: Cross multiply
    456.40x = 685.32 × 360.64
  4. Step 4: Simplify right side
    456.40x = 247,153.80
  5. Step 5: Solve for x
    x = 247,153.80/456.40
  6. Step 6: Final answer
    x = 541.53

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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.