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Finding the Fourth Proportional to 513.15, 767.83 and 307.86

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Solution

The fourth proportional to 513.15, 767.83 and 307.86 is: 460.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.15 : 767.83 = 307.86 : x
  2. Step 2: Convert to fraction form
    513.15/767.83 = 307.86/x
  3. Step 3: Cross multiply
    513.15x = 767.83 × 307.86
  4. Step 4: Simplify right side
    513.15x = 236,378.77
  5. Step 5: Solve for x
    x = 236,378.77/513.15
  6. Step 6: Final answer
    x = 460.65

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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.