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Finding the Fourth Proportional to 340.30, 468.15 and 307.19

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Solution

The fourth proportional to 340.30, 468.15 and 307.19 is: 422.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.30 : 468.15 = 307.19 : x
  2. Step 2: Convert to fraction form
    340.30/468.15 = 307.19/x
  3. Step 3: Cross multiply
    340.30x = 468.15 × 307.19
  4. Step 4: Simplify right side
    340.30x = 143,811.02
  5. Step 5: Solve for x
    x = 143,811.02/340.30
  6. Step 6: Final answer
    x = 422.60

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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.