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Finding the Fourth Proportional to 307, 463.30 and 305.11

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Solution

The fourth proportional to 307, 463.30 and 305.11 is: 460.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    307 : 463.30 = 305.11 : x
  2. Step 2: Convert to fraction form
    307/463.30 = 305.11/x
  3. Step 3: Cross multiply
    307x = 463.30 × 305.11
  4. Step 4: Simplify right side
    307x = 141,357.46
  5. Step 5: Solve for x
    x = 141,357.46/307
  6. Step 6: Final answer
    x = 460.45

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Why These Related Problems?

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