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Finding the Fourth Proportional to 910.16, 1,365.42 and 293.71

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Solution

The fourth proportional to 910.16, 1,365.42 and 293.71 is: 440.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.16 : 1,365.42 = 293.71 : x
  2. Step 2: Convert to fraction form
    910.16/1,365.42 = 293.71/x
  3. Step 3: Cross multiply
    910.16x = 1,365.42 × 293.71
  4. Step 4: Simplify right side
    910.16x = 401,037.51
  5. Step 5: Solve for x
    x = 401,037.51/910.16
  6. Step 6: Final answer
    x = 440.62

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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.