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Finding the Fourth Proportional to 384.31, 530.31 and 226.93

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Solution

The fourth proportional to 384.31, 530.31 and 226.93 is: 313.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.31 : 530.31 = 226.93 : x
  2. Step 2: Convert to fraction form
    384.31/530.31 = 226.93/x
  3. Step 3: Cross multiply
    384.31x = 530.31 × 226.93
  4. Step 4: Simplify right side
    384.31x = 120,344.76
  5. Step 5: Solve for x
    x = 120,344.76/384.31
  6. Step 6: Final answer
    x = 313.15

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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.