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Finding the Fourth Proportional to 510.60, 768.42 and 460.28

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Solution

The fourth proportional to 510.60, 768.42 and 460.28 is: 692.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.60 : 768.42 = 460.28 : x
  2. Step 2: Convert to fraction form
    510.60/768.42 = 460.28/x
  3. Step 3: Cross multiply
    510.60x = 768.42 × 460.28
  4. Step 4: Simplify right side
    510.60x = 353,688.36
  5. Step 5: Solve for x
    x = 353,688.36/510.60
  6. Step 6: Final answer
    x = 692.69

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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.