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Finding the Fourth Proportional to 307.18, 423.35 and 287.70

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Solution

The fourth proportional to 307.18, 423.35 and 287.70 is: 396.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.18 : 423.35 = 287.70 : x
  2. Step 2: Convert to fraction form
    307.18/423.35 = 287.70/x
  3. Step 3: Cross multiply
    307.18x = 423.35 × 287.70
  4. Step 4: Simplify right side
    307.18x = 121,794.24
  5. Step 5: Solve for x
    x = 121,794.24/307.18
  6. Step 6: Final answer
    x = 396.49

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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.