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Finding the Fourth Proportional to 902.30, 1,353.45 and 415.76

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Solution

The fourth proportional to 902.30, 1,353.45 and 415.76 is: 623.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.30 : 1,353.45 = 415.76 : x
  2. Step 2: Convert to fraction form
    902.30/1,353.45 = 415.76/x
  3. Step 3: Cross multiply
    902.30x = 1,353.45 × 415.76
  4. Step 4: Simplify right side
    902.30x = 562,710.37
  5. Step 5: Solve for x
    x = 562,710.37/902.30
  6. Step 6: Final answer
    x = 623.64

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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.