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Finding the Fourth Proportional to 903.41, 1,354.30 and 326.15

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Solution

The fourth proportional to 903.41, 1,354.30 and 326.15 is: 488.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.41 : 1,354.30 = 326.15 : x
  2. Step 2: Convert to fraction form
    903.41/1,354.30 = 326.15/x
  3. Step 3: Cross multiply
    903.41x = 1,354.30 × 326.15
  4. Step 4: Simplify right side
    903.41x = 441,697.36
  5. Step 5: Solve for x
    x = 441,697.36/903.41
  6. Step 6: Final answer
    x = 488.93

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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.