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Finding the Fourth Proportional to 544.32, 816.48 and 400.14

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Solution

The fourth proportional to 544.32, 816.48 and 400.14 is: 600.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.32 : 816.48 = 400.14 : x
  2. Step 2: Convert to fraction form
    544.32/816.48 = 400.14/x
  3. Step 3: Cross multiply
    544.32x = 816.48 × 400.14
  4. Step 4: Simplify right side
    544.32x = 326,706.31
  5. Step 5: Solve for x
    x = 326,706.31/544.32
  6. Step 6: Final answer
    x = 600.21

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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.