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Finding the Fourth Proportional to 400.92, 598.47 and 370.83

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Solution

The fourth proportional to 400.92, 598.47 and 370.83 is: 553.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.92 : 598.47 = 370.83 : x
  2. Step 2: Convert to fraction form
    400.92/598.47 = 370.83/x
  3. Step 3: Cross multiply
    400.92x = 598.47 × 370.83
  4. Step 4: Simplify right side
    400.92x = 221,930.63
  5. Step 5: Solve for x
    x = 221,930.63/400.92
  6. Step 6: Final answer
    x = 553.55

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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.