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Finding the Fourth Proportional to 354.80, 530.11 and 261.84

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Solution

The fourth proportional to 354.80, 530.11 and 261.84 is: 391.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.80 : 530.11 = 261.84 : x
  2. Step 2: Convert to fraction form
    354.80/530.11 = 261.84/x
  3. Step 3: Cross multiply
    354.80x = 530.11 × 261.84
  4. Step 4: Simplify right side
    354.80x = 138,804.00
  5. Step 5: Solve for x
    x = 138,804.00/354.80
  6. Step 6: Final answer
    x = 391.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.