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Finding the Fourth Proportional to 538.69, 808.18 and 291.83

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Solution

The fourth proportional to 538.69, 808.18 and 291.83 is: 437.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.69 : 808.18 = 291.83 : x
  2. Step 2: Convert to fraction form
    538.69/808.18 = 291.83/x
  3. Step 3: Cross multiply
    538.69x = 808.18 × 291.83
  4. Step 4: Simplify right side
    538.69x = 235,852.41
  5. Step 5: Solve for x
    x = 235,852.41/538.69
  6. Step 6: Final answer
    x = 437.83

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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.