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Finding the Fourth Proportional to 506.22, 698.54 and 285.13

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Solution

The fourth proportional to 506.22, 698.54 and 285.13 is: 393.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.22 : 698.54 = 285.13 : x
  2. Step 2: Convert to fraction form
    506.22/698.54 = 285.13/x
  3. Step 3: Cross multiply
    506.22x = 698.54 × 285.13
  4. Step 4: Simplify right side
    506.22x = 199,174.71
  5. Step 5: Solve for x
    x = 199,174.71/506.22
  6. Step 6: Final answer
    x = 393.45

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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.