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Finding the Fourth Proportional to 506.52, 703.38 and 501.72

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Solution

The fourth proportional to 506.52, 703.38 and 501.72 is: 696.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.52 : 703.38 = 501.72 : x
  2. Step 2: Convert to fraction form
    506.52/703.38 = 501.72/x
  3. Step 3: Cross multiply
    506.52x = 703.38 × 501.72
  4. Step 4: Simplify right side
    506.52x = 352,899.81
  5. Step 5: Solve for x
    x = 352,899.81/506.52
  6. Step 6: Final answer
    x = 696.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.