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Finding the Fourth Proportional to 506.10, 696.87 and 417.24

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Solution

The fourth proportional to 506.10, 696.87 and 417.24 is: 574.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.10 : 696.87 = 417.24 : x
  2. Step 2: Convert to fraction form
    506.10/696.87 = 417.24/x
  3. Step 3: Cross multiply
    506.10x = 696.87 × 417.24
  4. Step 4: Simplify right side
    506.10x = 290,762.04
  5. Step 5: Solve for x
    x = 290,762.04/506.10
  6. Step 6: Final answer
    x = 574.51

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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.