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Finding the Fourth Proportional to 508.86, 701.64 and 351.60

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Solution

The fourth proportional to 508.86, 701.64 and 351.60 is: 484.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.86 : 701.64 = 351.60 : x
  2. Step 2: Convert to fraction form
    508.86/701.64 = 351.60/x
  3. Step 3: Cross multiply
    508.86x = 701.64 × 351.60
  4. Step 4: Simplify right side
    508.86x = 246,696.62
  5. Step 5: Solve for x
    x = 246,696.62/508.86
  6. Step 6: Final answer
    x = 484.80

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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.