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Finding the Fourth Proportional to 341.06, 470.61 and 210.11

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Solution

The fourth proportional to 341.06, 470.61 and 210.11 is: 289.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.06 : 470.61 = 210.11 : x
  2. Step 2: Convert to fraction form
    341.06/470.61 = 210.11/x
  3. Step 3: Cross multiply
    341.06x = 470.61 × 210.11
  4. Step 4: Simplify right side
    341.06x = 98,877.51
  5. Step 5: Solve for x
    x = 98,877.51/341.06
  6. Step 6: Final answer
    x = 289.92

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Why These Related Problems?

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