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Finding the Fourth Proportional to 523.41, 785.35 and 407.69

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Solution

The fourth proportional to 523.41, 785.35 and 407.69 is: 611.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.41 : 785.35 = 407.69 : x
  2. Step 2: Convert to fraction form
    523.41/785.35 = 407.69/x
  3. Step 3: Cross multiply
    523.41x = 785.35 × 407.69
  4. Step 4: Simplify right side
    523.41x = 320,179.34
  5. Step 5: Solve for x
    x = 320,179.34/523.41
  6. Step 6: Final answer
    x = 611.72

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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.