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Finding the Fourth Proportional to 401.04, 598.14 and 394.13

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Solution

The fourth proportional to 401.04, 598.14 and 394.13 is: 587.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.04 : 598.14 = 394.13 : x
  2. Step 2: Convert to fraction form
    401.04/598.14 = 394.13/x
  3. Step 3: Cross multiply
    401.04x = 598.14 × 394.13
  4. Step 4: Simplify right side
    401.04x = 235,741.93
  5. Step 5: Solve for x
    x = 235,741.93/401.04
  6. Step 6: Final answer
    x = 587.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.