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Finding the Fourth Proportional to 589.57, 880.13 and 466.59

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Solution

The fourth proportional to 589.57, 880.13 and 466.59 is: 696.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.57 : 880.13 = 466.59 : x
  2. Step 2: Convert to fraction form
    589.57/880.13 = 466.59/x
  3. Step 3: Cross multiply
    589.57x = 880.13 × 466.59
  4. Step 4: Simplify right side
    589.57x = 410,659.86
  5. Step 5: Solve for x
    x = 410,659.86/589.57
  6. Step 6: Final answer
    x = 696.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.