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Finding the Fourth Proportional to 903.82, 1,354.91 and 356.38

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Solution

The fourth proportional to 903.82, 1,354.91 and 356.38 is: 534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.82 : 1,354.91 = 356.38 : x
  2. Step 2: Convert to fraction form
    903.82/1,354.91 = 356.38/x
  3. Step 3: Cross multiply
    903.82x = 1,354.91 × 356.38
  4. Step 4: Simplify right side
    903.82x = 482,862.83
  5. Step 5: Solve for x
    x = 482,862.83/903.82
  6. Step 6: Final answer
    x = 534.25

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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.