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Finding the Fourth Proportional to 903.08, 1,354.48 and 253.72

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Solution

The fourth proportional to 903.08, 1,354.48 and 253.72 is: 380.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.08 : 1,354.48 = 253.72 : x
  2. Step 2: Convert to fraction form
    903.08/1,354.48 = 253.72/x
  3. Step 3: Cross multiply
    903.08x = 1,354.48 × 253.72
  4. Step 4: Simplify right side
    903.08x = 343,658.67
  5. Step 5: Solve for x
    x = 343,658.67/903.08
  6. Step 6: Final answer
    x = 380.54

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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.