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Finding the Fourth Proportional to 415.41, 623.04 and 312.85

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Solution

The fourth proportional to 415.41, 623.04 and 312.85 is: 469.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.41 : 623.04 = 312.85 : x
  2. Step 2: Convert to fraction form
    415.41/623.04 = 312.85/x
  3. Step 3: Cross multiply
    415.41x = 623.04 × 312.85
  4. Step 4: Simplify right side
    415.41x = 194,918.06
  5. Step 5: Solve for x
    x = 194,918.06/415.41
  6. Step 6: Final answer
    x = 469.22

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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.