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Finding the Fourth Proportional to 341.13, 470.78 and 210.07

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Solution

The fourth proportional to 341.13, 470.78 and 210.07 is: 289.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.13 : 470.78 = 210.07 : x
  2. Step 2: Convert to fraction form
    341.13/470.78 = 210.07/x
  3. Step 3: Cross multiply
    341.13x = 470.78 × 210.07
  4. Step 4: Simplify right side
    341.13x = 98,896.75
  5. Step 5: Solve for x
    x = 98,896.75/341.13
  6. Step 6: Final answer
    x = 289.91

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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.