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Finding the Fourth Proportional to 645.32, 966.72 and 319.70

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Solution

The fourth proportional to 645.32, 966.72 and 319.70 is: 478.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.32 : 966.72 = 319.70 : x
  2. Step 2: Convert to fraction form
    645.32/966.72 = 319.70/x
  3. Step 3: Cross multiply
    645.32x = 966.72 × 319.70
  4. Step 4: Simplify right side
    645.32x = 309,060.38
  5. Step 5: Solve for x
    x = 309,060.38/645.32
  6. Step 6: Final answer
    x = 478.93

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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.