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Finding the Fourth Proportional to 946.31, 1,419.47 and 288.29

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Solution

The fourth proportional to 946.31, 1,419.47 and 288.29 is: 432.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.31 : 1,419.47 = 288.29 : x
  2. Step 2: Convert to fraction form
    946.31/1,419.47 = 288.29/x
  3. Step 3: Cross multiply
    946.31x = 1,419.47 × 288.29
  4. Step 4: Simplify right side
    946.31x = 409,210.47
  5. Step 5: Solve for x
    x = 409,210.47/946.31
  6. Step 6: Final answer
    x = 432.43

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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.