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Finding the Fourth Proportional to 484.42, 726.09 and 210.10

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Solution

The fourth proportional to 484.42, 726.09 and 210.10 is: 314.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.42 : 726.09 = 210.10 : x
  2. Step 2: Convert to fraction form
    484.42/726.09 = 210.10/x
  3. Step 3: Cross multiply
    484.42x = 726.09 × 210.10
  4. Step 4: Simplify right side
    484.42x = 152,551.51
  5. Step 5: Solve for x
    x = 152,551.51/484.42
  6. Step 6: Final answer
    x = 314.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.