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Finding the Fourth Proportional to 351.86, 526.55 and 323.04

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Solution

The fourth proportional to 351.86, 526.55 and 323.04 is: 483.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.86 : 526.55 = 323.04 : x
  2. Step 2: Convert to fraction form
    351.86/526.55 = 323.04/x
  3. Step 3: Cross multiply
    351.86x = 526.55 × 323.04
  4. Step 4: Simplify right side
    351.86x = 170,095.10
  5. Step 5: Solve for x
    x = 170,095.10/351.86
  6. Step 6: Final answer
    x = 483.42

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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.