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Finding the Fourth Proportional to 903.96, 1,354.86 and 415.97

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Solution

The fourth proportional to 903.96, 1,354.86 and 415.97 is: 623.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.96 : 1,354.86 = 415.97 : x
  2. Step 2: Convert to fraction form
    903.96/1,354.86 = 415.97/x
  3. Step 3: Cross multiply
    903.96x = 1,354.86 × 415.97
  4. Step 4: Simplify right side
    903.96x = 563,579.42
  5. Step 5: Solve for x
    x = 563,579.42/903.96
  6. Step 6: Final answer
    x = 623.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.