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Finding the Fourth Proportional to 608.80, 838.29 and 510.38

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Solution

The fourth proportional to 608.80, 838.29 and 510.38 is: 702.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.80 : 838.29 = 510.38 : x
  2. Step 2: Convert to fraction form
    608.80/838.29 = 510.38/x
  3. Step 3: Cross multiply
    608.80x = 838.29 × 510.38
  4. Step 4: Simplify right side
    608.80x = 427,846.45
  5. Step 5: Solve for x
    x = 427,846.45/608.80
  6. Step 6: Final answer
    x = 702.77

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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.