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Finding the Fourth Proportional to 510.61, 764.71 and 301.81

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Solution

The fourth proportional to 510.61, 764.71 and 301.81 is: 452.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.61 : 764.71 = 301.81 : x
  2. Step 2: Convert to fraction form
    510.61/764.71 = 301.81/x
  3. Step 3: Cross multiply
    510.61x = 764.71 × 301.81
  4. Step 4: Simplify right side
    510.61x = 230,797.13
  5. Step 5: Solve for x
    x = 230,797.13/510.61
  6. Step 6: Final answer
    x = 452.00

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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.