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Finding the Fourth Proportional to 354.08, 530.64 and 311.84

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Solution

The fourth proportional to 354.08, 530.64 and 311.84 is: 467.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.08 : 530.64 = 311.84 : x
  2. Step 2: Convert to fraction form
    354.08/530.64 = 311.84/x
  3. Step 3: Cross multiply
    354.08x = 530.64 × 311.84
  4. Step 4: Simplify right side
    354.08x = 165,474.78
  5. Step 5: Solve for x
    x = 165,474.78/354.08
  6. Step 6: Final answer
    x = 467.34

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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.