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Finding the Fourth Proportional to 514.22, 771.76 and 463.20

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Solution

The fourth proportional to 514.22, 771.76 and 463.20 is: 695.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.22 : 771.76 = 463.20 : x
  2. Step 2: Convert to fraction form
    514.22/771.76 = 463.20/x
  3. Step 3: Cross multiply
    514.22x = 771.76 × 463.20
  4. Step 4: Simplify right side
    514.22x = 357,479.23
  5. Step 5: Solve for x
    x = 357,479.23/514.22
  6. Step 6: Final answer
    x = 695.19

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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.