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Finding the Fourth Proportional to 350.76, 524.93 and 213.87

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Solution

The fourth proportional to 350.76, 524.93 and 213.87 is: 320.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.76 : 524.93 = 213.87 : x
  2. Step 2: Convert to fraction form
    350.76/524.93 = 213.87/x
  3. Step 3: Cross multiply
    350.76x = 524.93 × 213.87
  4. Step 4: Simplify right side
    350.76x = 112,265.71
  5. Step 5: Solve for x
    x = 112,265.71/350.76
  6. Step 6: Final answer
    x = 320.06

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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.