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Finding the Fourth Proportional to 340.40, 468.56 and 304.86

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Solution

The fourth proportional to 340.40, 468.56 and 304.86 is: 419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.40 : 468.56 = 304.86 : x
  2. Step 2: Convert to fraction form
    340.40/468.56 = 304.86/x
  3. Step 3: Cross multiply
    340.40x = 468.56 × 304.86
  4. Step 4: Simplify right side
    340.40x = 142,845.20
  5. Step 5: Solve for x
    x = 142,845.20/340.40
  6. Step 6: Final answer
    x = 419.64

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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.