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Finding the Fourth Proportional to 395.94, 546.29 and 297.98

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Solution

The fourth proportional to 395.94, 546.29 and 297.98 is: 411.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.94 : 546.29 = 297.98 : x
  2. Step 2: Convert to fraction form
    395.94/546.29 = 297.98/x
  3. Step 3: Cross multiply
    395.94x = 546.29 × 297.98
  4. Step 4: Simplify right side
    395.94x = 162,784.11
  5. Step 5: Solve for x
    x = 162,784.11/395.94
  6. Step 6: Final answer
    x = 411.14

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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.