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Finding the Fourth Proportional to 538.79, 808.52 and 264.87

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Solution

The fourth proportional to 538.79, 808.52 and 264.87 is: 397.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.79 : 808.52 = 264.87 : x
  2. Step 2: Convert to fraction form
    538.79/808.52 = 264.87/x
  3. Step 3: Cross multiply
    538.79x = 808.52 × 264.87
  4. Step 4: Simplify right side
    538.79x = 214,151.37
  5. Step 5: Solve for x
    x = 214,151.37/538.79
  6. Step 6: Final answer
    x = 397.47

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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.