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Finding the Fourth Proportional to 475.57, 712.62 and 320.89

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Solution

The fourth proportional to 475.57, 712.62 and 320.89 is: 480.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.57 : 712.62 = 320.89 : x
  2. Step 2: Convert to fraction form
    475.57/712.62 = 320.89/x
  3. Step 3: Cross multiply
    475.57x = 712.62 × 320.89
  4. Step 4: Simplify right side
    475.57x = 228,672.63
  5. Step 5: Solve for x
    x = 228,672.63/475.57
  6. Step 6: Final answer
    x = 480.84

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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.