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Finding the Fourth Proportional to 484.34, 725.85 and 210.04

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Solution

The fourth proportional to 484.34, 725.85 and 210.04 is: 314.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.34 : 725.85 = 210.04 : x
  2. Step 2: Convert to fraction form
    484.34/725.85 = 210.04/x
  3. Step 3: Cross multiply
    484.34x = 725.85 × 210.04
  4. Step 4: Simplify right side
    484.34x = 152,455.72
  5. Step 5: Solve for x
    x = 152,455.72/484.34
  6. Step 6: Final answer
    x = 314.77

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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.