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Finding the Fourth Proportional to 816.16, 1,224.24 and 383.08

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Solution

The fourth proportional to 816.16, 1,224.24 and 383.08 is: 574.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.16 : 1,224.24 = 383.08 : x
  2. Step 2: Convert to fraction form
    816.16/1,224.24 = 383.08/x
  3. Step 3: Cross multiply
    816.16x = 1,224.24 × 383.08
  4. Step 4: Simplify right side
    816.16x = 468,981.86
  5. Step 5: Solve for x
    x = 468,981.86/816.16
  6. Step 6: Final answer
    x = 574.62

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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.