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Finding the Fourth Proportional to 544.24, 816.36 and 352

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Solution

The fourth proportional to 544.24, 816.36 and 352 is: 528

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.24 : 816.36 = 352 : x
  2. Step 2: Convert to fraction form
    544.24/816.36 = 352/x
  3. Step 3: Cross multiply
    544.24x = 816.36 × 352
  4. Step 4: Simplify right side
    544.24x = 287,358.72
  5. Step 5: Solve for x
    x = 287,358.72/544.24
  6. Step 6: Final answer
    x = 528

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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.