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Finding the Fourth Proportional to 513.84, 708.98 and 303.91

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Solution

The fourth proportional to 513.84, 708.98 and 303.91 is: 419.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.84 : 708.98 = 303.91 : x
  2. Step 2: Convert to fraction form
    513.84/708.98 = 303.91/x
  3. Step 3: Cross multiply
    513.84x = 708.98 × 303.91
  4. Step 4: Simplify right side
    513.84x = 215,462.57
  5. Step 5: Solve for x
    x = 215,462.57/513.84
  6. Step 6: Final answer
    x = 419.32

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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.