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Finding the Fourth Proportional to 415.17, 621.74 and 292.86

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Solution

The fourth proportional to 415.17, 621.74 and 292.86 is: 438.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.17 : 621.74 = 292.86 : x
  2. Step 2: Convert to fraction form
    415.17/621.74 = 292.86/x
  3. Step 3: Cross multiply
    415.17x = 621.74 × 292.86
  4. Step 4: Simplify right side
    415.17x = 182,083.51
  5. Step 5: Solve for x
    x = 182,083.51/415.17
  6. Step 6: Final answer
    x = 438.58

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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.