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Finding the Fourth Proportional to 309.51, 466.72 and 305.39

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Solution

The fourth proportional to 309.51, 466.72 and 305.39 is: 460.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.51 : 466.72 = 305.39 : x
  2. Step 2: Convert to fraction form
    309.51/466.72 = 305.39/x
  3. Step 3: Cross multiply
    309.51x = 466.72 × 305.39
  4. Step 4: Simplify right side
    309.51x = 142,528.93
  5. Step 5: Solve for x
    x = 142,528.93/309.51
  6. Step 6: Final answer
    x = 460.51

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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.