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Finding the Fourth Proportional to 357.97, 494 and 210.61

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Solution

The fourth proportional to 357.97, 494 and 210.61 is: 290.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.97 : 494 = 210.61 : x
  2. Step 2: Convert to fraction form
    357.97/494 = 210.61/x
  3. Step 3: Cross multiply
    357.97x = 494 × 210.61
  4. Step 4: Simplify right side
    357.97x = 104,041.34
  5. Step 5: Solve for x
    x = 104,041.34/357.97
  6. Step 6: Final answer
    x = 290.64

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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.