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Finding the Fourth Proportional to 510.52, 766.06 and 473.80

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Solution

The fourth proportional to 510.52, 766.06 and 473.80 is: 710.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.52 : 766.06 = 473.80 : x
  2. Step 2: Convert to fraction form
    510.52/766.06 = 473.80/x
  3. Step 3: Cross multiply
    510.52x = 766.06 × 473.80
  4. Step 4: Simplify right side
    510.52x = 362,959.23
  5. Step 5: Solve for x
    x = 362,959.23/510.52
  6. Step 6: Final answer
    x = 710.96

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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.