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Finding the Fourth Proportional to 514.97, 776.07 and 463.67

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Solution

The fourth proportional to 514.97, 776.07 and 463.67 is: 698.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.97 : 776.07 = 463.67 : x
  2. Step 2: Convert to fraction form
    514.97/776.07 = 463.67/x
  3. Step 3: Cross multiply
    514.97x = 776.07 × 463.67
  4. Step 4: Simplify right side
    514.97x = 359,834.76
  5. Step 5: Solve for x
    x = 359,834.76/514.97
  6. Step 6: Final answer
    x = 698.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.