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Finding the Fourth Proportional to 587.46, 811.17 and 401.34

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Solution

The fourth proportional to 587.46, 811.17 and 401.34 is: 554.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.46 : 811.17 = 401.34 : x
  2. Step 2: Convert to fraction form
    587.46/811.17 = 401.34/x
  3. Step 3: Cross multiply
    587.46x = 811.17 × 401.34
  4. Step 4: Simplify right side
    587.46x = 325,554.97
  5. Step 5: Solve for x
    x = 325,554.97/587.46
  6. Step 6: Final answer
    x = 554.17

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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.