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Finding the Fourth Proportional to 354.68, 530.77 and 271.14

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Solution

The fourth proportional to 354.68, 530.77 and 271.14 is: 405.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.68 : 530.77 = 271.14 : x
  2. Step 2: Convert to fraction form
    354.68/530.77 = 271.14/x
  3. Step 3: Cross multiply
    354.68x = 530.77 × 271.14
  4. Step 4: Simplify right side
    354.68x = 143,911.62
  5. Step 5: Solve for x
    x = 143,911.62/354.68
  6. Step 6: Final answer
    x = 405.76

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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.