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Finding the Fourth Proportional to 506.10, 698.42 and 285.03

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Solution

The fourth proportional to 506.10, 698.42 and 285.03 is: 393.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.10 : 698.42 = 285.03 : x
  2. Step 2: Convert to fraction form
    506.10/698.42 = 285.03/x
  3. Step 3: Cross multiply
    506.10x = 698.42 × 285.03
  4. Step 4: Simplify right side
    506.10x = 199,070.65
  5. Step 5: Solve for x
    x = 199,070.65/506.10
  6. Step 6: Final answer
    x = 393.34

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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.