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Finding the Fourth Proportional to 513.47, 708.53 and 303.62

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Solution

The fourth proportional to 513.47, 708.53 and 303.62 is: 418.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.47 : 708.53 = 303.62 : x
  2. Step 2: Convert to fraction form
    513.47/708.53 = 303.62/x
  3. Step 3: Cross multiply
    513.47x = 708.53 × 303.62
  4. Step 4: Simplify right side
    513.47x = 215,118.82
  5. Step 5: Solve for x
    x = 215,118.82/513.47
  6. Step 6: Final answer
    x = 418.95

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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.