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Finding the Fourth Proportional to 401.14, 597.70 and 383.45

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Solution

The fourth proportional to 401.14, 597.70 and 383.45 is: 571.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.14 : 597.70 = 383.45 : x
  2. Step 2: Convert to fraction form
    401.14/597.70 = 383.45/x
  3. Step 3: Cross multiply
    401.14x = 597.70 × 383.45
  4. Step 4: Simplify right side
    401.14x = 229,183.16
  5. Step 5: Solve for x
    x = 229,183.16/401.14
  6. Step 6: Final answer
    x = 571.34

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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.