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Finding the Fourth Proportional to 614.84, 922.64 and 249.63

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Solution

The fourth proportional to 614.84, 922.64 and 249.63 is: 374.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.84 : 922.64 = 249.63 : x
  2. Step 2: Convert to fraction form
    614.84/922.64 = 249.63/x
  3. Step 3: Cross multiply
    614.84x = 922.64 × 249.63
  4. Step 4: Simplify right side
    614.84x = 230,320.51
  5. Step 5: Solve for x
    x = 230,320.51/614.84
  6. Step 6: Final answer
    x = 374.60

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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.