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Finding the Fourth Proportional to 508.02, 701.06 and 286.94

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Solution

The fourth proportional to 508.02, 701.06 and 286.94 is: 395.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.02 : 701.06 = 286.94 : x
  2. Step 2: Convert to fraction form
    508.02/701.06 = 286.94/x
  3. Step 3: Cross multiply
    508.02x = 701.06 × 286.94
  4. Step 4: Simplify right side
    508.02x = 201,162.16
  5. Step 5: Solve for x
    x = 201,162.16/508.02
  6. Step 6: Final answer
    x = 395.97

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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.