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Finding the Fourth Proportional to 589.74, 885.39 and 460.59

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Solution

The fourth proportional to 589.74, 885.39 and 460.59 is: 691.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.74 : 885.39 = 460.59 : x
  2. Step 2: Convert to fraction form
    589.74/885.39 = 460.59/x
  3. Step 3: Cross multiply
    589.74x = 885.39 × 460.59
  4. Step 4: Simplify right side
    589.74x = 407,801.78
  5. Step 5: Solve for x
    x = 407,801.78/589.74
  6. Step 6: Final answer
    x = 691.49

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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.