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Finding the Fourth Proportional to 903.02, 1,353.63 and 415.46

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Solution

The fourth proportional to 903.02, 1,353.63 and 415.46 is: 622.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.02 : 1,353.63 = 415.46 : x
  2. Step 2: Convert to fraction form
    903.02/1,353.63 = 415.46/x
  3. Step 3: Cross multiply
    903.02x = 1,353.63 × 415.46
  4. Step 4: Simplify right side
    903.02x = 562,379.12
  5. Step 5: Solve for x
    x = 562,379.12/903.02
  6. Step 6: Final answer
    x = 622.78

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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.