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Finding the Fourth Proportional to 514.66, 713.30 and 506.98

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Solution

The fourth proportional to 514.66, 713.30 and 506.98 is: 702.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.66 : 713.30 = 506.98 : x
  2. Step 2: Convert to fraction form
    514.66/713.30 = 506.98/x
  3. Step 3: Cross multiply
    514.66x = 713.30 × 506.98
  4. Step 4: Simplify right side
    514.66x = 361,628.83
  5. Step 5: Solve for x
    x = 361,628.83/514.66
  6. Step 6: Final answer
    x = 702.66

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.