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Finding the Fourth Proportional to 510.86, 768.14 and 470.77

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Solution

The fourth proportional to 510.86, 768.14 and 470.77 is: 707.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.86 : 768.14 = 470.77 : x
  2. Step 2: Convert to fraction form
    510.86/768.14 = 470.77/x
  3. Step 3: Cross multiply
    510.86x = 768.14 × 470.77
  4. Step 4: Simplify right side
    510.86x = 361,617.27
  5. Step 5: Solve for x
    x = 361,617.27/510.86
  6. Step 6: Final answer
    x = 707.86

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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.