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Finding the Fourth Proportional to 341.40, 473.19 and 309

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Solution

The fourth proportional to 341.40, 473.19 and 309 is: 428.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.40 : 473.19 = 309 : x
  2. Step 2: Convert to fraction form
    341.40/473.19 = 309/x
  3. Step 3: Cross multiply
    341.40x = 473.19 × 309
  4. Step 4: Simplify right side
    341.40x = 146,215.71
  5. Step 5: Solve for x
    x = 146,215.71/341.40
  6. Step 6: Final answer
    x = 428.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.