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Finding the Fourth Proportional to 337.94, 505.87 and 288.74

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Solution

The fourth proportional to 337.94, 505.87 and 288.74 is: 432.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.94 : 505.87 = 288.74 : x
  2. Step 2: Convert to fraction form
    337.94/505.87 = 288.74/x
  3. Step 3: Cross multiply
    337.94x = 505.87 × 288.74
  4. Step 4: Simplify right side
    337.94x = 146,064.90
  5. Step 5: Solve for x
    x = 146,064.90/337.94
  6. Step 6: Final answer
    x = 432.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.