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Finding the Fourth Proportional to 513.64, 708.69 and 292.51

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Solution

The fourth proportional to 513.64, 708.69 and 292.51 is: 403.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.64 : 708.69 = 292.51 : x
  2. Step 2: Convert to fraction form
    513.64/708.69 = 292.51/x
  3. Step 3: Cross multiply
    513.64x = 708.69 × 292.51
  4. Step 4: Simplify right side
    513.64x = 207,298.91
  5. Step 5: Solve for x
    x = 207,298.91/513.64
  6. Step 6: Final answer
    x = 403.59

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