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Finding the Fourth Proportional to 398.24, 593 and 377.12

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Solution

The fourth proportional to 398.24, 593 and 377.12 is: 561.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.24 : 593 = 377.12 : x
  2. Step 2: Convert to fraction form
    398.24/593 = 377.12/x
  3. Step 3: Cross multiply
    398.24x = 593 × 377.12
  4. Step 4: Simplify right side
    398.24x = 223,632.16
  5. Step 5: Solve for x
    x = 223,632.16/398.24
  6. Step 6: Final answer
    x = 561.55

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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.