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Finding the Fourth Proportional to 816.48, 1,224.96 and 384.16

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Solution

The fourth proportional to 816.48, 1,224.96 and 384.16 is: 576.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.48 : 1,224.96 = 384.16 : x
  2. Step 2: Convert to fraction form
    816.48/1,224.96 = 384.16/x
  3. Step 3: Cross multiply
    816.48x = 1,224.96 × 384.16
  4. Step 4: Simplify right side
    816.48x = 470,580.63
  5. Step 5: Solve for x
    x = 470,580.63/816.48
  6. Step 6: Final answer
    x = 576.35

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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.