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Finding the Fourth Proportional to 340.62, 467.54 and 322.40

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Solution

The fourth proportional to 340.62, 467.54 and 322.40 is: 442.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.62 : 467.54 = 322.40 : x
  2. Step 2: Convert to fraction form
    340.62/467.54 = 322.40/x
  3. Step 3: Cross multiply
    340.62x = 467.54 × 322.40
  4. Step 4: Simplify right side
    340.62x = 150,730.95
  5. Step 5: Solve for x
    x = 150,730.95/340.62
  6. Step 6: Final answer
    x = 442.52

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.