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Finding the Fourth Proportional to 401.64, 598.44 and 383.94

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Solution

The fourth proportional to 401.64, 598.44 and 383.94 is: 572.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.64 : 598.44 = 383.94 : x
  2. Step 2: Convert to fraction form
    401.64/598.44 = 383.94/x
  3. Step 3: Cross multiply
    401.64x = 598.44 × 383.94
  4. Step 4: Simplify right side
    401.64x = 229,765.05
  5. Step 5: Solve for x
    x = 229,765.05/401.64
  6. Step 6: Final answer
    x = 572.07

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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.