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Finding the Fourth Proportional to 475.67, 712.14 and 302.08

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Solution

The fourth proportional to 475.67, 712.14 and 302.08 is: 452.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.67 : 712.14 = 302.08 : x
  2. Step 2: Convert to fraction form
    475.67/712.14 = 302.08/x
  3. Step 3: Cross multiply
    475.67x = 712.14 × 302.08
  4. Step 4: Simplify right side
    475.67x = 215,123.37
  5. Step 5: Solve for x
    x = 215,123.37/475.67
  6. Step 6: Final answer
    x = 452.25

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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.