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Finding the Fourth Proportional to 523.36, 785.06 and 176.71

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Solution

The fourth proportional to 523.36, 785.06 and 176.71 is: 265.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.36 : 785.06 = 176.71 : x
  2. Step 2: Convert to fraction form
    523.36/785.06 = 176.71/x
  3. Step 3: Cross multiply
    523.36x = 785.06 × 176.71
  4. Step 4: Simplify right side
    523.36x = 138,727.95
  5. Step 5: Solve for x
    x = 138,727.95/523.36
  6. Step 6: Final answer
    x = 265.07

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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.