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Finding the Fourth Proportional to 353.70, 529.20 and 313.74

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Solution

The fourth proportional to 353.70, 529.20 and 313.74 is: 469.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.70 : 529.20 = 313.74 : x
  2. Step 2: Convert to fraction form
    353.70/529.20 = 313.74/x
  3. Step 3: Cross multiply
    353.70x = 529.20 × 313.74
  4. Step 4: Simplify right side
    353.70x = 166,031.21
  5. Step 5: Solve for x
    x = 166,031.21/353.70
  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.