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Finding the Fourth Proportional to 510.95, 766.13 and 305.39

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Solution

The fourth proportional to 510.95, 766.13 and 305.39 is: 457.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.95 : 766.13 = 305.39 : x
  2. Step 2: Convert to fraction form
    510.95/766.13 = 305.39/x
  3. Step 3: Cross multiply
    510.95x = 766.13 × 305.39
  4. Step 4: Simplify right side
    510.95x = 233,966.91
  5. Step 5: Solve for x
    x = 233,966.91/510.95
  6. Step 6: Final answer
    x = 457.91

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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.