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Finding the Fourth Proportional to 330.57, 492.35 and 313.22

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Solution

The fourth proportional to 330.57, 492.35 and 313.22 is: 466.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.57 : 492.35 = 313.22 : x
  2. Step 2: Convert to fraction form
    330.57/492.35 = 313.22/x
  3. Step 3: Cross multiply
    330.57x = 492.35 × 313.22
  4. Step 4: Simplify right side
    330.57x = 154,211.41
  5. Step 5: Solve for x
    x = 154,211.41/330.57
  6. Step 6: Final answer
    x = 466.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.