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Finding the Fourth Proportional to 538.23, 808.16 and 477.75

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Solution

The fourth proportional to 538.23, 808.16 and 477.75 is: 717.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.23 : 808.16 = 477.75 : x
  2. Step 2: Convert to fraction form
    538.23/808.16 = 477.75/x
  3. Step 3: Cross multiply
    538.23x = 808.16 × 477.75
  4. Step 4: Simplify right side
    538.23x = 386,098.44
  5. Step 5: Solve for x
    x = 386,098.44/538.23
  6. Step 6: Final answer
    x = 717.35

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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.