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Finding the Fourth Proportional to 309.52, 466.60 and 305.20

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Solution

The fourth proportional to 309.52, 466.60 and 305.20 is: 460.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.52 : 466.60 = 305.20 : x
  2. Step 2: Convert to fraction form
    309.52/466.60 = 305.20/x
  3. Step 3: Cross multiply
    309.52x = 466.60 × 305.20
  4. Step 4: Simplify right side
    309.52x = 142,406.32
  5. Step 5: Solve for x
    x = 142,406.32/309.52
  6. Step 6: Final answer
    x = 460.09

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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.