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Finding the Fourth Proportional to 292.83, 403.85 and 210.48

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Solution

The fourth proportional to 292.83, 403.85 and 210.48 is: 290.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.83 : 403.85 = 210.48 : x
  2. Step 2: Convert to fraction form
    292.83/403.85 = 210.48/x
  3. Step 3: Cross multiply
    292.83x = 403.85 × 210.48
  4. Step 4: Simplify right side
    292.83x = 85,003.63
  5. Step 5: Solve for x
    x = 85,003.63/292.83
  6. Step 6: Final answer
    x = 290.28

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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.