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Finding the Fourth Proportional to 1,490.31, 2,235.47 and 394.79

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Solution

The fourth proportional to 1,490.31, 2,235.47 and 394.79 is: 592.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.31 : 2,235.47 = 394.79 : x
  2. Step 2: Convert to fraction form
    1,490.31/2,235.47 = 394.79/x
  3. Step 3: Cross multiply
    1,490.31x = 2,235.47 × 394.79
  4. Step 4: Simplify right side
    1,490.31x = 882,528.05
  5. Step 5: Solve for x
    x = 882,528.05/1,490.31
  6. Step 6: Final answer
    x = 592.18

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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.