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Finding the Fourth Proportional to 384.86, 531.10 and 225.37

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Solution

The fourth proportional to 384.86, 531.10 and 225.37 is: 311.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.86 : 531.10 = 225.37 : x
  2. Step 2: Convert to fraction form
    384.86/531.10 = 225.37/x
  3. Step 3: Cross multiply
    384.86x = 531.10 × 225.37
  4. Step 4: Simplify right side
    384.86x = 119,695.11
  5. Step 5: Solve for x
    x = 119,695.11/384.86
  6. Step 6: Final answer
    x = 311.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.