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Finding the Fourth Proportional to 902.58, 1,353.96 and 415.86

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Solution

The fourth proportional to 902.58, 1,353.96 and 415.86 is: 623.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.58 : 1,353.96 = 415.86 : x
  2. Step 2: Convert to fraction form
    902.58/1,353.96 = 415.86/x
  3. Step 3: Cross multiply
    902.58x = 1,353.96 × 415.86
  4. Step 4: Simplify right side
    902.58x = 563,057.81
  5. Step 5: Solve for x
    x = 563,057.81/902.58
  6. Step 6: Final answer
    x = 623.83

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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.