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Finding the Fourth Proportional to 351.42, 526.33 and 214.35

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Solution

The fourth proportional to 351.42, 526.33 and 214.35 is: 321.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.42 : 526.33 = 214.35 : x
  2. Step 2: Convert to fraction form
    351.42/526.33 = 214.35/x
  3. Step 3: Cross multiply
    351.42x = 526.33 × 214.35
  4. Step 4: Simplify right side
    351.42x = 112,818.84
  5. Step 5: Solve for x
    x = 112,818.84/351.42
  6. Step 6: Final answer
    x = 321.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.