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Finding the Fourth Proportional to 508.77, 702.14 and 287.64

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Solution

The fourth proportional to 508.77, 702.14 and 287.64 is: 396.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.77 : 702.14 = 287.64 : x
  2. Step 2: Convert to fraction form
    508.77/702.14 = 287.64/x
  3. Step 3: Cross multiply
    508.77x = 702.14 × 287.64
  4. Step 4: Simplify right side
    508.77x = 201,963.55
  5. Step 5: Solve for x
    x = 201,963.55/508.77
  6. Step 6: Final answer
    x = 396.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.