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Finding the Fourth Proportional to 317.68, 476.70 and 264.22

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Solution

The fourth proportional to 317.68, 476.70 and 264.22 is: 396.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.68 : 476.70 = 264.22 : x
  2. Step 2: Convert to fraction form
    317.68/476.70 = 264.22/x
  3. Step 3: Cross multiply
    317.68x = 476.70 × 264.22
  4. Step 4: Simplify right side
    317.68x = 125,953.67
  5. Step 5: Solve for x
    x = 125,953.67/317.68
  6. Step 6: Final answer
    x = 396.48

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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.