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Finding the Fourth Proportional to 513.55, 708.67 and 303.67

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Solution

The fourth proportional to 513.55, 708.67 and 303.67 is: 419.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.55 : 708.67 = 303.67 : x
  2. Step 2: Convert to fraction form
    513.55/708.67 = 303.67/x
  3. Step 3: Cross multiply
    513.55x = 708.67 × 303.67
  4. Step 4: Simplify right side
    513.55x = 215,204.01
  5. Step 5: Solve for x
    x = 215,204.01/513.55
  6. Step 6: Final answer
    x = 419.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.