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Finding the Fourth Proportional to 914.74, 1,371.20 and 366.64

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Solution

The fourth proportional to 914.74, 1,371.20 and 366.64 is: 549.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.74 : 1,371.20 = 366.64 : x
  2. Step 2: Convert to fraction form
    914.74/1,371.20 = 366.64/x
  3. Step 3: Cross multiply
    914.74x = 1,371.20 × 366.64
  4. Step 4: Simplify right side
    914.74x = 502,731.51
  5. Step 5: Solve for x
    x = 502,731.51/914.74
  6. Step 6: Final answer
    x = 549.59

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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.