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Finding the Fourth Proportional to 535.59, 732.74 and 533.28

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Solution

The fourth proportional to 535.59, 732.74 and 533.28 is: 729.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.59 : 732.74 = 533.28 : x
  2. Step 2: Convert to fraction form
    535.59/732.74 = 533.28/x
  3. Step 3: Cross multiply
    535.59x = 732.74 × 533.28
  4. Step 4: Simplify right side
    535.59x = 390,755.59
  5. Step 5: Solve for x
    x = 390,755.59/535.59
  6. Step 6: Final answer
    x = 729.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.