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Finding the Fourth Proportional to 468.08, 701.16 and 313.56

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Solution

The fourth proportional to 468.08, 701.16 and 313.56 is: 469.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.08 : 701.16 = 313.56 : x
  2. Step 2: Convert to fraction form
    468.08/701.16 = 313.56/x
  3. Step 3: Cross multiply
    468.08x = 701.16 × 313.56
  4. Step 4: Simplify right side
    468.08x = 219,855.73
  5. Step 5: Solve for x
    x = 219,855.73/468.08
  6. Step 6: Final answer
    x = 469.70

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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.