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Finding the Fourth Proportional to 341.14, 470.59 and 224.50

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Solution

The fourth proportional to 341.14, 470.59 and 224.50 is: 309.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.14 : 470.59 = 224.50 : x
  2. Step 2: Convert to fraction form
    341.14/470.59 = 224.50/x
  3. Step 3: Cross multiply
    341.14x = 470.59 × 224.50
  4. Step 4: Simplify right side
    341.14x = 105,647.46
  5. Step 5: Solve for x
    x = 105,647.46/341.14
  6. Step 6: Final answer
    x = 309.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.