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Finding the Fourth Proportional to 475.64, 713.33 and 302.05

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Solution

The fourth proportional to 475.64, 713.33 and 302.05 is: 452.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.64 : 713.33 = 302.05 : x
  2. Step 2: Convert to fraction form
    475.64/713.33 = 302.05/x
  3. Step 3: Cross multiply
    475.64x = 713.33 × 302.05
  4. Step 4: Simplify right side
    475.64x = 215,461.33
  5. Step 5: Solve for x
    x = 215,461.33/475.64
  6. Step 6: Final answer
    x = 452.99

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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.