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Finding the Fourth Proportional to 357.89, 493.90 and 210.53

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Solution

The fourth proportional to 357.89, 493.90 and 210.53 is: 290.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.89 : 493.90 = 210.53 : x
  2. Step 2: Convert to fraction form
    357.89/493.90 = 210.53/x
  3. Step 3: Cross multiply
    357.89x = 493.90 × 210.53
  4. Step 4: Simplify right side
    357.89x = 103,981.48
  5. Step 5: Solve for x
    x = 103,981.48/357.89
  6. Step 6: Final answer
    x = 290.54

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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.