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Finding the Fourth Proportional to 910.47, 1,365.71 and 294.23

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Solution

The fourth proportional to 910.47, 1,365.71 and 294.23 is: 441.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.47 : 1,365.71 = 294.23 : x
  2. Step 2: Convert to fraction form
    910.47/1,365.71 = 294.23/x
  3. Step 3: Cross multiply
    910.47x = 1,365.71 × 294.23
  4. Step 4: Simplify right side
    910.47x = 401,824.55
  5. Step 5: Solve for x
    x = 401,824.55/910.47
  6. Step 6: Final answer
    x = 441.34

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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.