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Finding the Fourth Proportional to 354.40, 530.40 and 311.20

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Solution

The fourth proportional to 354.40, 530.40 and 311.20 is: 465.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.40 : 530.40 = 311.20 : x
  2. Step 2: Convert to fraction form
    354.40/530.40 = 311.20/x
  3. Step 3: Cross multiply
    354.40x = 530.40 × 311.20
  4. Step 4: Simplify right side
    354.40x = 165,060.48
  5. Step 5: Solve for x
    x = 165,060.48/354.40
  6. Step 6: Final answer
    x = 465.75

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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.