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Finding the Fourth Proportional to 384.10, 530.01 and 226.76

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Solution

The fourth proportional to 384.10, 530.01 and 226.76 is: 312.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.10 : 530.01 = 226.76 : x
  2. Step 2: Convert to fraction form
    384.10/530.01 = 226.76/x
  3. Step 3: Cross multiply
    384.10x = 530.01 × 226.76
  4. Step 4: Simplify right side
    384.10x = 120,185.07
  5. Step 5: Solve for x
    x = 120,185.07/384.10
  6. Step 6: Final answer
    x = 312.90

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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.