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Finding the Fourth Proportional to 506.53, 700.12 and 447.06

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Solution

The fourth proportional to 506.53, 700.12 and 447.06 is: 617.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.53 : 700.12 = 447.06 : x
  2. Step 2: Convert to fraction form
    506.53/700.12 = 447.06/x
  3. Step 3: Cross multiply
    506.53x = 700.12 × 447.06
  4. Step 4: Simplify right side
    506.53x = 312,995.65
  5. Step 5: Solve for x
    x = 312,995.65/506.53
  6. Step 6: Final answer
    x = 617.92

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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.