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Finding the Fourth Proportional to 485.52, 726.12 and 290.00

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Solution

The fourth proportional to 485.52, 726.12 and 290.00 is: 433.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.52 : 726.12 = 290.00 : x
  2. Step 2: Convert to fraction form
    485.52/726.12 = 290.00/x
  3. Step 3: Cross multiply
    485.52x = 726.12 × 290.00
  4. Step 4: Simplify right side
    485.52x = 210,571.17
  5. Step 5: Solve for x
    x = 210,571.17/485.52
  6. Step 6: Final answer
    x = 433.70

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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.