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Finding the Fourth Proportional to 341.60, 470.92 and 210.52

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Solution

The fourth proportional to 341.60, 470.92 and 210.52 is: 290.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.60 : 470.92 = 210.52 : x
  2. Step 2: Convert to fraction form
    341.60/470.92 = 210.52/x
  3. Step 3: Cross multiply
    341.60x = 470.92 × 210.52
  4. Step 4: Simplify right side
    341.60x = 99,138.08
  5. Step 5: Solve for x
    x = 99,138.08/341.60
  6. Step 6: Final answer
    x = 290.22

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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.