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Finding the Fourth Proportional to 351.68, 526.73 and 304.22

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Solution

The fourth proportional to 351.68, 526.73 and 304.22 is: 455.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.68 : 526.73 = 304.22 : x
  2. Step 2: Convert to fraction form
    351.68/526.73 = 304.22/x
  3. Step 3: Cross multiply
    351.68x = 526.73 × 304.22
  4. Step 4: Simplify right side
    351.68x = 160,241.80
  5. Step 5: Solve for x
    x = 160,241.80/351.68
  6. Step 6: Final answer
    x = 455.65

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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.