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Finding the Fourth Proportional to 817.42, 1,224.15 and 384.70

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Solution

The fourth proportional to 817.42, 1,224.15 and 384.70 is: 576.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.42 : 1,224.15 = 384.70 : x
  2. Step 2: Convert to fraction form
    817.42/1,224.15 = 384.70/x
  3. Step 3: Cross multiply
    817.42x = 1,224.15 × 384.70
  4. Step 4: Simplify right side
    817.42x = 470,930.51
  5. Step 5: Solve for x
    x = 470,930.51/817.42
  6. Step 6: Final answer
    x = 576.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.