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Finding the Fourth Proportional to 506.64, 699.12 and 285.60

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Solution

The fourth proportional to 506.64, 699.12 and 285.60 is: 394.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.64 : 699.12 = 285.60 : x
  2. Step 2: Convert to fraction form
    506.64/699.12 = 285.60/x
  3. Step 3: Cross multiply
    506.64x = 699.12 × 285.60
  4. Step 4: Simplify right side
    506.64x = 199,668.67
  5. Step 5: Solve for x
    x = 199,668.67/506.64
  6. Step 6: Final answer
    x = 394.10

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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.