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Finding the Fourth Proportional to 535.23, 801.72 and 340.13

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Solution

The fourth proportional to 535.23, 801.72 and 340.13 is: 509.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.23 : 801.72 = 340.13 : x
  2. Step 2: Convert to fraction form
    535.23/801.72 = 340.13/x
  3. Step 3: Cross multiply
    535.23x = 801.72 × 340.13
  4. Step 4: Simplify right side
    535.23x = 272,691.03
  5. Step 5: Solve for x
    x = 272,691.03/535.23
  6. Step 6: Final answer
    x = 509.48

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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.