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Finding the Fourth Proportional to 485.02, 725.72 and 290.12

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Solution

The fourth proportional to 485.02, 725.72 and 290.12 is: 434.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.02 : 725.72 = 290.12 : x
  2. Step 2: Convert to fraction form
    485.02/725.72 = 290.12/x
  3. Step 3: Cross multiply
    485.02x = 725.72 × 290.12
  4. Step 4: Simplify right side
    485.02x = 210,544.44
  5. Step 5: Solve for x
    x = 210,544.44/485.02
  6. Step 6: Final answer
    x = 434.10

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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.