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Finding the Fourth Proportional to 538.46, 808.11 and 384.51

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Solution

The fourth proportional to 538.46, 808.11 and 384.51 is: 577.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.46 : 808.11 = 384.51 : x
  2. Step 2: Convert to fraction form
    538.46/808.11 = 384.51/x
  3. Step 3: Cross multiply
    538.46x = 808.11 × 384.51
  4. Step 4: Simplify right side
    538.46x = 310,726.38
  5. Step 5: Solve for x
    x = 310,726.38/538.46
  6. Step 6: Final answer
    x = 577.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.