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Finding the Fourth Proportional to 510.68, 765.75 and 470.72

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Solution

The fourth proportional to 510.68, 765.75 and 470.72 is: 705.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.68 : 765.75 = 470.72 : x
  2. Step 2: Convert to fraction form
    510.68/765.75 = 470.72/x
  3. Step 3: Cross multiply
    510.68x = 765.75 × 470.72
  4. Step 4: Simplify right side
    510.68x = 360,453.84
  5. Step 5: Solve for x
    x = 360,453.84/510.68
  6. Step 6: Final answer
    x = 705.83

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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.