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Finding the Fourth Proportional to 506.26, 697.44 and 417.16

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Solution

The fourth proportional to 506.26, 697.44 and 417.16 is: 574.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.26 : 697.44 = 417.16 : x
  2. Step 2: Convert to fraction form
    506.26/697.44 = 417.16/x
  3. Step 3: Cross multiply
    506.26x = 697.44 × 417.16
  4. Step 4: Simplify right side
    506.26x = 290,944.07
  5. Step 5: Solve for x
    x = 290,944.07/506.26
  6. Step 6: Final answer
    x = 574.69

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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.