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Finding the Fourth Proportional to 317.84, 440.74 and 307.47

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Solution

The fourth proportional to 317.84, 440.74 and 307.47 is: 426.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.84 : 440.74 = 307.47 : x
  2. Step 2: Convert to fraction form
    317.84/440.74 = 307.47/x
  3. Step 3: Cross multiply
    317.84x = 440.74 × 307.47
  4. Step 4: Simplify right side
    317.84x = 135,515.13
  5. Step 5: Solve for x
    x = 135,515.13/317.84
  6. Step 6: Final answer
    x = 426.37

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.