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Finding the Fourth Proportional to 513.51, 708.65 and 292.49

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Solution

The fourth proportional to 513.51, 708.65 and 292.49 is: 403.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.51 : 708.65 = 292.49 : x
  2. Step 2: Convert to fraction form
    513.51/708.65 = 292.49/x
  3. Step 3: Cross multiply
    513.51x = 708.65 × 292.49
  4. Step 4: Simplify right side
    513.51x = 207,273.04
  5. Step 5: Solve for x
    x = 207,273.04/513.51
  6. Step 6: Final answer
    x = 403.64

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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.