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Finding the Fourth Proportional to 946.54, 1,419.63 and 253.21

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Solution

The fourth proportional to 946.54, 1,419.63 and 253.21 is: 379.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.54 : 1,419.63 = 253.21 : x
  2. Step 2: Convert to fraction form
    946.54/1,419.63 = 253.21/x
  3. Step 3: Cross multiply
    946.54x = 1,419.63 × 253.21
  4. Step 4: Simplify right side
    946.54x = 359,464.51
  5. Step 5: Solve for x
    x = 359,464.51/946.54
  6. Step 6: Final answer
    x = 379.77

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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.