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Finding the Fourth Proportional to 510.60, 764.38 and 464.20

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Solution

The fourth proportional to 510.60, 764.38 and 464.20 is: 694.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.60 : 764.38 = 464.20 : x
  2. Step 2: Convert to fraction form
    510.60/764.38 = 464.20/x
  3. Step 3: Cross multiply
    510.60x = 764.38 × 464.20
  4. Step 4: Simplify right side
    510.60x = 354,825.20
  5. Step 5: Solve for x
    x = 354,825.20/510.60
  6. Step 6: Final answer
    x = 694.92

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Why These Related Problems?

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