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Finding the Fourth Proportional to 523.74, 785.65 and 177.11

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Solution

The fourth proportional to 523.74, 785.65 and 177.11 is: 265.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.74 : 785.65 = 177.11 : x
  2. Step 2: Convert to fraction form
    523.74/785.65 = 177.11/x
  3. Step 3: Cross multiply
    523.74x = 785.65 × 177.11
  4. Step 4: Simplify right side
    523.74x = 139,143.62
  5. Step 5: Solve for x
    x = 139,143.62/523.74
  6. Step 6: Final answer
    x = 265.67

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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.