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Finding the Fourth Proportional to 524.25, 723.47 and 369.27

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Solution

The fourth proportional to 524.25, 723.47 and 369.27 is: 509.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.25 : 723.47 = 369.27 : x
  2. Step 2: Convert to fraction form
    524.25/723.47 = 369.27/x
  3. Step 3: Cross multiply
    524.25x = 723.47 × 369.27
  4. Step 4: Simplify right side
    524.25x = 267,155.77
  5. Step 5: Solve for x
    x = 267,155.77/524.25
  6. Step 6: Final answer
    x = 509.60

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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.