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Finding the Fourth Proportional to 467.10, 700.38 and 313.20

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Solution

The fourth proportional to 467.10, 700.38 and 313.20 is: 469.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.10 : 700.38 = 313.20 : x
  2. Step 2: Convert to fraction form
    467.10/700.38 = 313.20/x
  3. Step 3: Cross multiply
    467.10x = 700.38 × 313.20
  4. Step 4: Simplify right side
    467.10x = 219,359.02
  5. Step 5: Solve for x
    x = 219,359.02/467.10
  6. Step 6: Final answer
    x = 469.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.