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Finding the Fourth Proportional to 349.94, 482.84 and 210.04

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Solution

The fourth proportional to 349.94, 482.84 and 210.04 is: 289.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.94 : 482.84 = 210.04 : x
  2. Step 2: Convert to fraction form
    349.94/482.84 = 210.04/x
  3. Step 3: Cross multiply
    349.94x = 482.84 × 210.04
  4. Step 4: Simplify right side
    349.94x = 101,415.71
  5. Step 5: Solve for x
    x = 101,415.71/349.94
  6. Step 6: Final answer
    x = 289.81

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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.