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Finding the Fourth Proportional to 607.44, 838.24 and 508.96

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Solution

The fourth proportional to 607.44, 838.24 and 508.96 is: 702.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.44 : 838.24 = 508.96 : x
  2. Step 2: Convert to fraction form
    607.44/838.24 = 508.96/x
  3. Step 3: Cross multiply
    607.44x = 838.24 × 508.96
  4. Step 4: Simplify right side
    607.44x = 426,630.63
  5. Step 5: Solve for x
    x = 426,630.63/607.44
  6. Step 6: Final answer
    x = 702.34

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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.