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Finding the Fourth Proportional to 508.39, 701.61 and 287.35

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Solution

The fourth proportional to 508.39, 701.61 and 287.35 is: 396.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.39 : 701.61 = 287.35 : x
  2. Step 2: Convert to fraction form
    508.39/701.61 = 287.35/x
  3. Step 3: Cross multiply
    508.39x = 701.61 × 287.35
  4. Step 4: Simplify right side
    508.39x = 201,607.63
  5. Step 5: Solve for x
    x = 201,607.63/508.39
  6. Step 6: Final answer
    x = 396.56

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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.