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Finding the Fourth Proportional to 587.67, 811.64 and 400.83

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Solution

The fourth proportional to 587.67, 811.64 and 400.83 is: 553.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.67 : 811.64 = 400.83 : x
  2. Step 2: Convert to fraction form
    587.67/811.64 = 400.83/x
  3. Step 3: Cross multiply
    587.67x = 811.64 × 400.83
  4. Step 4: Simplify right side
    587.67x = 325,329.66
  5. Step 5: Solve for x
    x = 325,329.66/587.67
  6. Step 6: Final answer
    x = 553.59

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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.