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Finding the Fourth Proportional to 475.90, 713.17 and 313.24

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Solution

The fourth proportional to 475.90, 713.17 and 313.24 is: 469.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.90 : 713.17 = 313.24 : x
  2. Step 2: Convert to fraction form
    475.90/713.17 = 313.24/x
  3. Step 3: Cross multiply
    475.90x = 713.17 × 313.24
  4. Step 4: Simplify right side
    475.90x = 223,394.00
  5. Step 5: Solve for x
    x = 223,394.00/475.90
  6. Step 6: Final answer
    x = 469.41

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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.