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Finding the Fourth Proportional to 903.29, 1,354.97 and 286.98

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Solution

The fourth proportional to 903.29, 1,354.97 and 286.98 is: 430.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.29 : 1,354.97 = 286.98 : x
  2. Step 2: Convert to fraction form
    903.29/1,354.97 = 286.98/x
  3. Step 3: Cross multiply
    903.29x = 1,354.97 × 286.98
  4. Step 4: Simplify right side
    903.29x = 388,841.08
  5. Step 5: Solve for x
    x = 388,841.08/903.29
  6. Step 6: Final answer
    x = 430.47

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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.