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Finding the Fourth Proportional to 535.19, 738.38 and 335.93

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Solution

The fourth proportional to 535.19, 738.38 and 335.93 is: 463.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.19 : 738.38 = 335.93 : x
  2. Step 2: Convert to fraction form
    535.19/738.38 = 335.93/x
  3. Step 3: Cross multiply
    535.19x = 738.38 × 335.93
  4. Step 4: Simplify right side
    535.19x = 248,041.14
  5. Step 5: Solve for x
    x = 248,041.14/535.19
  6. Step 6: Final answer
    x = 463.47

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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.