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Finding the Fourth Proportional to 341.30, 470.85 and 210.08

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Solution

The fourth proportional to 341.30, 470.85 and 210.08 is: 289.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.30 : 470.85 = 210.08 : x
  2. Step 2: Convert to fraction form
    341.30/470.85 = 210.08/x
  3. Step 3: Cross multiply
    341.30x = 470.85 × 210.08
  4. Step 4: Simplify right side
    341.30x = 98,913.81
  5. Step 5: Solve for x
    x = 98,913.81/341.30
  6. Step 6: Final answer
    x = 289.82

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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.