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Finding the Fourth Proportional to 903.09, 1,354.71 and 355.14

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Solution

The fourth proportional to 903.09, 1,354.71 and 355.14 is: 532.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.09 : 1,354.71 = 355.14 : x
  2. Step 2: Convert to fraction form
    903.09/1,354.71 = 355.14/x
  3. Step 3: Cross multiply
    903.09x = 1,354.71 × 355.14
  4. Step 4: Simplify right side
    903.09x = 481,112.60
  5. Step 5: Solve for x
    x = 481,112.60/903.09
  6. Step 6: Final answer
    x = 532.74

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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.