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Finding the Fourth Proportional to 590.62, 885.93 and 453.91

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Solution

The fourth proportional to 590.62, 885.93 and 453.91 is: 680.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.62 : 885.93 = 453.91 : x
  2. Step 2: Convert to fraction form
    590.62/885.93 = 453.91/x
  3. Step 3: Cross multiply
    590.62x = 885.93 × 453.91
  4. Step 4: Simplify right side
    590.62x = 402,132.49
  5. Step 5: Solve for x
    x = 402,132.49/590.62
  6. Step 6: Final answer
    x = 680.87

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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.