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Finding the Fourth Proportional to 357.69, 493.47 and 210.09

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Solution

The fourth proportional to 357.69, 493.47 and 210.09 is: 289.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.69 : 493.47 = 210.09 : x
  2. Step 2: Convert to fraction form
    357.69/493.47 = 210.09/x
  3. Step 3: Cross multiply
    357.69x = 493.47 × 210.09
  4. Step 4: Simplify right side
    357.69x = 103,673.11
  5. Step 5: Solve for x
    x = 103,673.11/357.69
  6. Step 6: Final answer
    x = 289.84

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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.