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Finding the Fourth Proportional to 341.50, 511.98 and 292.56

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Solution

The fourth proportional to 341.50, 511.98 and 292.56 is: 438.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.50 : 511.98 = 292.56 : x
  2. Step 2: Convert to fraction form
    341.50/511.98 = 292.56/x
  3. Step 3: Cross multiply
    341.50x = 511.98 × 292.56
  4. Step 4: Simplify right side
    341.50x = 149,784.87
  5. Step 5: Solve for x
    x = 149,784.87/341.50
  6. Step 6: Final answer
    x = 438.61

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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.