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Finding the Fourth Proportional to 523.42, 785.24 and 176.74

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Solution

The fourth proportional to 523.42, 785.24 and 176.74 is: 265.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.42 : 785.24 = 176.74 : x
  2. Step 2: Convert to fraction form
    523.42/785.24 = 176.74/x
  3. Step 3: Cross multiply
    523.42x = 785.24 × 176.74
  4. Step 4: Simplify right side
    523.42x = 138,781.80
  5. Step 5: Solve for x
    x = 138,781.80/523.42
  6. Step 6: Final answer
    x = 265.15

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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.