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Finding the Fourth Proportional to 341.07, 470.72 and 210.12

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Solution

The fourth proportional to 341.07, 470.72 and 210.12 is: 289.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.07 : 470.72 = 210.12 : x
  2. Step 2: Convert to fraction form
    341.07/470.72 = 210.12/x
  3. Step 3: Cross multiply
    341.07x = 470.72 × 210.12
  4. Step 4: Simplify right side
    341.07x = 98,907.69
  5. Step 5: Solve for x
    x = 98,907.69/341.07
  6. Step 6: Final answer
    x = 289.99

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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.