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Finding the Fourth Proportional to 475.84, 712.50 and 302.14

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Solution

The fourth proportional to 475.84, 712.50 and 302.14 is: 452.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.84 : 712.50 = 302.14 : x
  2. Step 2: Convert to fraction form
    475.84/712.50 = 302.14/x
  3. Step 3: Cross multiply
    475.84x = 712.50 × 302.14
  4. Step 4: Simplify right side
    475.84x = 215,274.75
  5. Step 5: Solve for x
    x = 215,274.75/475.84
  6. Step 6: Final answer
    x = 452.41

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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.