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Finding the Fourth Proportional to 903.11, 1,354.68 and 253.89

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Solution

The fourth proportional to 903.11, 1,354.68 and 253.89 is: 380.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.11 : 1,354.68 = 253.89 : x
  2. Step 2: Convert to fraction form
    903.11/1,354.68 = 253.89/x
  3. Step 3: Cross multiply
    903.11x = 1,354.68 × 253.89
  4. Step 4: Simplify right side
    903.11x = 343,939.71
  5. Step 5: Solve for x
    x = 343,939.71/903.11
  6. Step 6: Final answer
    x = 380.84

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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.