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Finding the Fourth Proportional to 510.51, 764.79 and 314.94

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Solution

The fourth proportional to 510.51, 764.79 and 314.94 is: 471.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.51 : 764.79 = 314.94 : x
  2. Step 2: Convert to fraction form
    510.51/764.79 = 314.94/x
  3. Step 3: Cross multiply
    510.51x = 764.79 × 314.94
  4. Step 4: Simplify right side
    510.51x = 240,858.91
  5. Step 5: Solve for x
    x = 240,858.91/510.51
  6. Step 6: Final answer
    x = 471.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.