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Finding the Fourth Proportional to 351.08, 526.28 and 314.63

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Solution

The fourth proportional to 351.08, 526.28 and 314.63 is: 471.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.08 : 526.28 = 314.63 : x
  2. Step 2: Convert to fraction form
    351.08/526.28 = 314.63/x
  3. Step 3: Cross multiply
    351.08x = 526.28 × 314.63
  4. Step 4: Simplify right side
    351.08x = 165,579.27
  5. Step 5: Solve for x
    x = 165,579.27/351.08
  6. Step 6: Final answer
    x = 471.64

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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.