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Finding the Fourth Proportional to 350.96, 526.17 and 214.07

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Solution

The fourth proportional to 350.96, 526.17 and 214.07 is: 320.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.96 : 526.17 = 214.07 : x
  2. Step 2: Convert to fraction form
    350.96/526.17 = 214.07/x
  3. Step 3: Cross multiply
    350.96x = 526.17 × 214.07
  4. Step 4: Simplify right side
    350.96x = 112,637.21
  5. Step 5: Solve for x
    x = 112,637.21/350.96
  6. Step 6: Final answer
    x = 320.94

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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.