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Finding the Fourth Proportional to 341.66, 512.71 and 309.46

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Solution

The fourth proportional to 341.66, 512.71 and 309.46 is: 464.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.66 : 512.71 = 309.46 : x
  2. Step 2: Convert to fraction form
    341.66/512.71 = 309.46/x
  3. Step 3: Cross multiply
    341.66x = 512.71 × 309.46
  4. Step 4: Simplify right side
    341.66x = 158,663.24
  5. Step 5: Solve for x
    x = 158,663.24/341.66
  6. Step 6: Final answer
    x = 464.39

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Why These Related Problems?

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