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Finding the Fourth Proportional to 513.93, 770.70 and 298.83

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Solution

The fourth proportional to 513.93, 770.70 and 298.83 is: 448.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.93 : 770.70 = 298.83 : x
  2. Step 2: Convert to fraction form
    513.93/770.70 = 298.83/x
  3. Step 3: Cross multiply
    513.93x = 770.70 × 298.83
  4. Step 4: Simplify right side
    513.93x = 230,308.28
  5. Step 5: Solve for x
    x = 230,308.28/513.93
  6. Step 6: Final answer
    x = 448.13

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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.