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Finding the Fourth Proportional to 587.02, 809.42 and 400.12

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Solution

The fourth proportional to 587.02, 809.42 and 400.12 is: 551.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.02 : 809.42 = 400.12 : x
  2. Step 2: Convert to fraction form
    587.02/809.42 = 400.12/x
  3. Step 3: Cross multiply
    587.02x = 809.42 × 400.12
  4. Step 4: Simplify right side
    587.02x = 323,865.13
  5. Step 5: Solve for x
    x = 323,865.13/587.02
  6. Step 6: Final answer
    x = 551.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.