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Finding the Fourth Proportional to 515.92, 776.65 and 463

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Solution

The fourth proportional to 515.92, 776.65 and 463 is: 696.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.92 : 776.65 = 463 : x
  2. Step 2: Convert to fraction form
    515.92/776.65 = 463/x
  3. Step 3: Cross multiply
    515.92x = 776.65 × 463
  4. Step 4: Simplify right side
    515.92x = 359,588.95
  5. Step 5: Solve for x
    x = 359,588.95/515.92
  6. Step 6: Final answer
    x = 696.99

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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.