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Finding the Fourth Proportional to 307.45, 460.35 and 204.46

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Solution

The fourth proportional to 307.45, 460.35 and 204.46 is: 306.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.45 : 460.35 = 204.46 : x
  2. Step 2: Convert to fraction form
    307.45/460.35 = 204.46/x
  3. Step 3: Cross multiply
    307.45x = 460.35 × 204.46
  4. Step 4: Simplify right side
    307.45x = 94,123.16
  5. Step 5: Solve for x
    x = 94,123.16/307.45
  6. Step 6: Final answer
    x = 306.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.