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Finding the Fourth Proportional to 330.06, 497.50 and 310.22

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Solution

The fourth proportional to 330.06, 497.50 and 310.22 is: 467.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.06 : 497.50 = 310.22 : x
  2. Step 2: Convert to fraction form
    330.06/497.50 = 310.22/x
  3. Step 3: Cross multiply
    330.06x = 497.50 × 310.22
  4. Step 4: Simplify right side
    330.06x = 154,334.45
  5. Step 5: Solve for x
    x = 154,334.45/330.06
  6. Step 6: Final answer
    x = 467.60

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.