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Finding the Fourth Proportional to 524.59, 786.88 and 159.38

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Solution

The fourth proportional to 524.59, 786.88 and 159.38 is: 239.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.59 : 786.88 = 159.38 : x
  2. Step 2: Convert to fraction form
    524.59/786.88 = 159.38/x
  3. Step 3: Cross multiply
    524.59x = 786.88 × 159.38
  4. Step 4: Simplify right side
    524.59x = 125,409
  5. Step 5: Solve for x
    x = 125,409/524.59
  6. Step 6: Final answer
    x = 239.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.