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Finding the Fourth Proportional to 535.26, 738.39 and 417.02

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Solution

The fourth proportional to 535.26, 738.39 and 417.02 is: 575.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.26 : 738.39 = 417.02 : x
  2. Step 2: Convert to fraction form
    535.26/738.39 = 417.02/x
  3. Step 3: Cross multiply
    535.26x = 738.39 × 417.02
  4. Step 4: Simplify right side
    535.26x = 307,923.40
  5. Step 5: Solve for x
    x = 307,923.40/535.26
  6. Step 6: Final answer
    x = 575.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.