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Finding the Fourth Proportional to 535.22, 799.10 and 502.42

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Solution

The fourth proportional to 535.22, 799.10 and 502.42 is: 750.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.22 : 799.10 = 502.42 : x
  2. Step 2: Convert to fraction form
    535.22/799.10 = 502.42/x
  3. Step 3: Cross multiply
    535.22x = 799.10 × 502.42
  4. Step 4: Simplify right side
    535.22x = 401,483.82
  5. Step 5: Solve for x
    x = 401,483.82/535.22
  6. Step 6: Final answer
    x = 750.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.