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Finding the Fourth Proportional to 510.20, 703.92 and 313.71

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Solution

The fourth proportional to 510.20, 703.92 and 313.71 is: 432.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.20 : 703.92 = 313.71 : x
  2. Step 2: Convert to fraction form
    510.20/703.92 = 313.71/x
  3. Step 3: Cross multiply
    510.20x = 703.92 × 313.71
  4. Step 4: Simplify right side
    510.20x = 220,825.28
  5. Step 5: Solve for x
    x = 220,825.28/510.20
  6. Step 6: Final answer
    x = 432.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.