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Finding the Fourth Proportional to 523.35, 785.25 and 407.62

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Solution

The fourth proportional to 523.35, 785.25 and 407.62 is: 611.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.35 : 785.25 = 407.62 : x
  2. Step 2: Convert to fraction form
    523.35/785.25 = 407.62/x
  3. Step 3: Cross multiply
    523.35x = 785.25 × 407.62
  4. Step 4: Simplify right side
    523.35x = 320,081.57
  5. Step 5: Solve for x
    x = 320,081.57/523.35
  6. Step 6: Final answer
    x = 611.60

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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.