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Finding the Fourth Proportional to 467.66, 702.09 and 359.52

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Solution

The fourth proportional to 467.66, 702.09 and 359.52 is: 539.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.66 : 702.09 = 359.52 : x
  2. Step 2: Convert to fraction form
    467.66/702.09 = 359.52/x
  3. Step 3: Cross multiply
    467.66x = 702.09 × 359.52
  4. Step 4: Simplify right side
    467.66x = 252,415.40
  5. Step 5: Solve for x
    x = 252,415.40/467.66
  6. Step 6: Final answer
    x = 539.75

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