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Finding the Fourth Proportional to 510.61, 764.32 and 334.71

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Solution

The fourth proportional to 510.61, 764.32 and 334.71 is: 501.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.61 : 764.32 = 334.71 : x
  2. Step 2: Convert to fraction form
    510.61/764.32 = 334.71/x
  3. Step 3: Cross multiply
    510.61x = 764.32 × 334.71
  4. Step 4: Simplify right side
    510.61x = 255,825.55
  5. Step 5: Solve for x
    x = 255,825.55/510.61
  6. Step 6: Final answer
    x = 501.02

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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.