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Finding the Fourth Proportional to 446.61, 669.92 and 351.03

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Solution

The fourth proportional to 446.61, 669.92 and 351.03 is: 526.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.61 : 669.92 = 351.03 : x
  2. Step 2: Convert to fraction form
    446.61/669.92 = 351.03/x
  3. Step 3: Cross multiply
    446.61x = 669.92 × 351.03
  4. Step 4: Simplify right side
    446.61x = 235,162.02
  5. Step 5: Solve for x
    x = 235,162.02/446.61
  6. Step 6: Final answer
    x = 526.55

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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.