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Finding the Fourth Proportional to 384.04, 530.17 and 226.72

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Solution

The fourth proportional to 384.04, 530.17 and 226.72 is: 312.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.04 : 530.17 = 226.72 : x
  2. Step 2: Convert to fraction form
    384.04/530.17 = 226.72/x
  3. Step 3: Cross multiply
    384.04x = 530.17 × 226.72
  4. Step 4: Simplify right side
    384.04x = 120,201.51
  5. Step 5: Solve for x
    x = 120,201.51/384.04
  6. Step 6: Final answer
    x = 312.99

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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.