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Finding the Fourth Proportional to 514.42, 772.40 and 309.89

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Solution

The fourth proportional to 514.42, 772.40 and 309.89 is: 465.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.42 : 772.40 = 309.89 : x
  2. Step 2: Convert to fraction form
    514.42/772.40 = 309.89/x
  3. Step 3: Cross multiply
    514.42x = 772.40 × 309.89
  4. Step 4: Simplify right side
    514.42x = 239,361.74
  5. Step 5: Solve for x
    x = 239,361.74/514.42
  6. Step 6: Final answer
    x = 465.31

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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.