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Finding the Fourth Proportional to 510.69, 766.34 and 305.66

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Solution

The fourth proportional to 510.69, 766.34 and 305.66 is: 458.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.69 : 766.34 = 305.66 : x
  2. Step 2: Convert to fraction form
    510.69/766.34 = 305.66/x
  3. Step 3: Cross multiply
    510.69x = 766.34 × 305.66
  4. Step 4: Simplify right side
    510.69x = 234,239.48
  5. Step 5: Solve for x
    x = 234,239.48/510.69
  6. Step 6: Final answer
    x = 458.67

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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.