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Finding the Fourth Proportional to 510.16, 698.94 and 490.72

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Solution

The fourth proportional to 510.16, 698.94 and 490.72 is: 672.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.16 : 698.94 = 490.72 : x
  2. Step 2: Convert to fraction form
    510.16/698.94 = 490.72/x
  3. Step 3: Cross multiply
    510.16x = 698.94 × 490.72
  4. Step 4: Simplify right side
    510.16x = 342,983.84
  5. Step 5: Solve for x
    x = 342,983.84/510.16
  6. Step 6: Final answer
    x = 672.31

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.