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Finding the Fourth Proportional to 903.27, 1,356.21 and 493.17

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Solution

The fourth proportional to 903.27, 1,356.21 and 493.17 is: 740.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.27 : 1,356.21 = 493.17 : x
  2. Step 2: Convert to fraction form
    903.27/1,356.21 = 493.17/x
  3. Step 3: Cross multiply
    903.27x = 1,356.21 × 493.17
  4. Step 4: Simplify right side
    903.27x = 668,842.09
  5. Step 5: Solve for x
    x = 668,842.09/903.27
  6. Step 6: Final answer
    x = 740.47

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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.