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Finding the Fourth Proportional to 384.67, 530.76 and 227.31

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Solution

The fourth proportional to 384.67, 530.76 and 227.31 is: 313.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.67 : 530.76 = 227.31 : x
  2. Step 2: Convert to fraction form
    384.67/530.76 = 227.31/x
  3. Step 3: Cross multiply
    384.67x = 530.76 × 227.31
  4. Step 4: Simplify right side
    384.67x = 120,646.84
  5. Step 5: Solve for x
    x = 120,646.84/384.67
  6. Step 6: Final answer
    x = 313.64

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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.