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Finding the Fourth Proportional to 513.34, 708.29 and 292.23

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Solution

The fourth proportional to 513.34, 708.29 and 292.23 is: 403.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.34 : 708.29 = 292.23 : x
  2. Step 2: Convert to fraction form
    513.34/708.29 = 292.23/x
  3. Step 3: Cross multiply
    513.34x = 708.29 × 292.23
  4. Step 4: Simplify right side
    513.34x = 206,983.59
  5. Step 5: Solve for x
    x = 206,983.59/513.34
  6. Step 6: Final answer
    x = 403.21

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1.5x scale

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.