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Finding the Fourth Proportional to 352.70, 529.05 and 314.30

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Solution

The fourth proportional to 352.70, 529.05 and 314.30 is: 471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.70 : 529.05 = 314.30 : x
  2. Step 2: Convert to fraction form
    352.70/529.05 = 314.30/x
  3. Step 3: Cross multiply
    352.70x = 529.05 × 314.30
  4. Step 4: Simplify right side
    352.70x = 166,280.42
  5. Step 5: Solve for x
    x = 166,280.42/352.70
  6. Step 6: Final answer
    x = 471.45

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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.