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Finding the Fourth Proportional to 914.31, 1,371.77 and 366.35

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Solution

The fourth proportional to 914.31, 1,371.77 and 366.35 is: 549.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.31 : 1,371.77 = 366.35 : x
  2. Step 2: Convert to fraction form
    914.31/1,371.77 = 366.35/x
  3. Step 3: Cross multiply
    914.31x = 1,371.77 × 366.35
  4. Step 4: Simplify right side
    914.31x = 502,539.25
  5. Step 5: Solve for x
    x = 502,539.25/914.31
  6. Step 6: Final answer
    x = 549.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.