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Finding the Fourth Proportional to 514.66, 770.29 and 465.43

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Solution

The fourth proportional to 514.66, 770.29 and 465.43 is: 696.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.66 : 770.29 = 465.43 : x
  2. Step 2: Convert to fraction form
    514.66/770.29 = 465.43/x
  3. Step 3: Cross multiply
    514.66x = 770.29 × 465.43
  4. Step 4: Simplify right side
    514.66x = 358,516.07
  5. Step 5: Solve for x
    x = 358,516.07/514.66
  6. Step 6: Final answer
    x = 696.61

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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.