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Finding the Fourth Proportional to 349.97, 482.76 and 210.02

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Solution

The fourth proportional to 349.97, 482.76 and 210.02 is: 289.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.97 : 482.76 = 210.02 : x
  2. Step 2: Convert to fraction form
    349.97/482.76 = 210.02/x
  3. Step 3: Cross multiply
    349.97x = 482.76 × 210.02
  4. Step 4: Simplify right side
    349.97x = 101,386.84
  5. Step 5: Solve for x
    x = 101,386.84/349.97
  6. Step 6: Final answer
    x = 289.71

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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.