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Finding the Fourth Proportional to 910.42, 1,365.90 and 294.22

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Solution

The fourth proportional to 910.42, 1,365.90 and 294.22 is: 441.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.42 : 1,365.90 = 294.22 : x
  2. Step 2: Convert to fraction form
    910.42/1,365.90 = 294.22/x
  3. Step 3: Cross multiply
    910.42x = 1,365.90 × 294.22
  4. Step 4: Simplify right side
    910.42x = 401,875.10
  5. Step 5: Solve for x
    x = 401,875.10/910.42
  6. Step 6: Final answer
    x = 441.42

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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.