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Finding the Fourth Proportional to 516.42, 770.92 and 442.50

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Solution

The fourth proportional to 516.42, 770.92 and 442.50 is: 660.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.42 : 770.92 = 442.50 : x
  2. Step 2: Convert to fraction form
    516.42/770.92 = 442.50/x
  3. Step 3: Cross multiply
    516.42x = 770.92 × 442.50
  4. Step 4: Simplify right side
    516.42x = 341,130.99
  5. Step 5: Solve for x
    x = 341,130.99/516.42
  6. Step 6: Final answer
    x = 660.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.