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Finding the Fourth Proportional to 401.34, 598.62 and 389.19

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Solution

The fourth proportional to 401.34, 598.62 and 389.19 is: 580.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.34 : 598.62 = 389.19 : x
  2. Step 2: Convert to fraction form
    401.34/598.62 = 389.19/x
  3. Step 3: Cross multiply
    401.34x = 598.62 × 389.19
  4. Step 4: Simplify right side
    401.34x = 232,976.92
  5. Step 5: Solve for x
    x = 232,976.92/401.34
  6. Step 6: Final answer
    x = 580.50

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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.