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Finding the Fourth Proportional to 317.25, 437.18 and 264.47

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Solution

The fourth proportional to 317.25, 437.18 and 264.47 is: 364.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.25 : 437.18 = 264.47 : x
  2. Step 2: Convert to fraction form
    317.25/437.18 = 264.47/x
  3. Step 3: Cross multiply
    317.25x = 437.18 × 264.47
  4. Step 4: Simplify right side
    317.25x = 115,617.49
  5. Step 5: Solve for x
    x = 115,617.49/317.25
  6. Step 6: Final answer
    x = 364.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.