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Finding the Fourth Proportional to 523.14, 785.61 and 464.71

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Solution

The fourth proportional to 523.14, 785.61 and 464.71 is: 697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.14 : 785.61 = 464.71 : x
  2. Step 2: Convert to fraction form
    523.14/785.61 = 464.71/x
  3. Step 3: Cross multiply
    523.14x = 785.61 × 464.71
  4. Step 4: Simplify right side
    523.14x = 365,074.57
  5. Step 5: Solve for x
    x = 365,074.57/523.14
  6. Step 6: Final answer
    x = 697.85

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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.