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Finding the Fourth Proportional to 513.03, 767.60 and 314.67

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Solution

The fourth proportional to 513.03, 767.60 and 314.67 is: 470.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.03 : 767.60 = 314.67 : x
  2. Step 2: Convert to fraction form
    513.03/767.60 = 314.67/x
  3. Step 3: Cross multiply
    513.03x = 767.60 × 314.67
  4. Step 4: Simplify right side
    513.03x = 241,537.64
  5. Step 5: Solve for x
    x = 241,537.64/513.03
  6. Step 6: Final answer
    x = 470.80

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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.