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Finding the Fourth Proportional to 523.74, 785.86 and 292.80

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Solution

The fourth proportional to 523.74, 785.86 and 292.80 is: 439.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.74 : 785.86 = 292.80 : x
  2. Step 2: Convert to fraction form
    523.74/785.86 = 292.80/x
  3. Step 3: Cross multiply
    523.74x = 785.86 × 292.80
  4. Step 4: Simplify right side
    523.74x = 230,099.81
  5. Step 5: Solve for x
    x = 230,099.81/523.74
  6. Step 6: Final answer
    x = 439.34

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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.