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Finding the Fourth Proportional to 523.12, 719.76 and 506.92

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Solution

The fourth proportional to 523.12, 719.76 and 506.92 is: 697.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.12 : 719.76 = 506.92 : x
  2. Step 2: Convert to fraction form
    523.12/719.76 = 506.92/x
  3. Step 3: Cross multiply
    523.12x = 719.76 × 506.92
  4. Step 4: Simplify right side
    523.12x = 364,860.74
  5. Step 5: Solve for x
    x = 364,860.74/523.12
  6. Step 6: Final answer
    x = 697.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.