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Finding the Fourth Proportional to 345.94, 478.31 and 330.64

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Solution

The fourth proportional to 345.94, 478.31 and 330.64 is: 457.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.94 : 478.31 = 330.64 : x
  2. Step 2: Convert to fraction form
    345.94/478.31 = 330.64/x
  3. Step 3: Cross multiply
    345.94x = 478.31 × 330.64
  4. Step 4: Simplify right side
    345.94x = 158,145.57
  5. Step 5: Solve for x
    x = 158,145.57/345.94
  6. Step 6: Final answer
    x = 457.15

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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.