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Finding the Fourth Proportional to 535.38, 801.69 and 502.95

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Solution

The fourth proportional to 535.38, 801.69 and 502.95 is: 753.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.38 : 801.69 = 502.95 : x
  2. Step 2: Convert to fraction form
    535.38/801.69 = 502.95/x
  3. Step 3: Cross multiply
    535.38x = 801.69 × 502.95
  4. Step 4: Simplify right side
    535.38x = 403,209.99
  5. Step 5: Solve for x
    x = 403,209.99/535.38
  6. Step 6: Final answer
    x = 753.13

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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.