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Finding the Fourth Proportional to 510.41, 764.76 and 491.45

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Solution

The fourth proportional to 510.41, 764.76 and 491.45 is: 736.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.41 : 764.76 = 491.45 : x
  2. Step 2: Convert to fraction form
    510.41/764.76 = 491.45/x
  3. Step 3: Cross multiply
    510.41x = 764.76 × 491.45
  4. Step 4: Simplify right side
    510.41x = 375,836.93
  5. Step 5: Solve for x
    x = 375,836.93/510.41
  6. Step 6: Final answer
    x = 736.35

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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.