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Finding the Fourth Proportional to 609.45, 838.53 and 510.63

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Solution

The fourth proportional to 609.45, 838.53 and 510.63 is: 702.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.45 : 838.53 = 510.63 : x
  2. Step 2: Convert to fraction form
    609.45/838.53 = 510.63/x
  3. Step 3: Cross multiply
    609.45x = 838.53 × 510.63
  4. Step 4: Simplify right side
    609.45x = 428,178.57
  5. Step 5: Solve for x
    x = 428,178.57/609.45
  6. Step 6: Final answer
    x = 702.57

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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.