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Finding the Fourth Proportional to 510.85, 763.92 and 380.93

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Solution

The fourth proportional to 510.85, 763.92 and 380.93 is: 569.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.85 : 763.92 = 380.93 : x
  2. Step 2: Convert to fraction form
    510.85/763.92 = 380.93/x
  3. Step 3: Cross multiply
    510.85x = 763.92 × 380.93
  4. Step 4: Simplify right side
    510.85x = 291,001.96
  5. Step 5: Solve for x
    x = 291,001.96/510.85
  6. Step 6: Final answer
    x = 569.65

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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.