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Finding the Fourth Proportional to 523.94, 785.74 and 177.19

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Solution

The fourth proportional to 523.94, 785.74 and 177.19 is: 265.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.94 : 785.74 = 177.19 : x
  2. Step 2: Convert to fraction form
    523.94/785.74 = 177.19/x
  3. Step 3: Cross multiply
    523.94x = 785.74 × 177.19
  4. Step 4: Simplify right side
    523.94x = 139,222.86
  5. Step 5: Solve for x
    x = 139,222.86/523.94
  6. Step 6: Final answer
    x = 265.72

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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.