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Finding the Fourth Proportional to 415.78, 623.85 and 155.91

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Solution

The fourth proportional to 415.78, 623.85 and 155.91 is: 233.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.78 : 623.85 = 155.91 : x
  2. Step 2: Convert to fraction form
    415.78/623.85 = 155.91/x
  3. Step 3: Cross multiply
    415.78x = 623.85 × 155.91
  4. Step 4: Simplify right side
    415.78x = 97,263.58
  5. Step 5: Solve for x
    x = 97,263.58/415.78
  6. Step 6: Final answer
    x = 233.93

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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.