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Finding the Fourth Proportional to 483.12, 723.60 and 290.16

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Solution

The fourth proportional to 483.12, 723.60 and 290.16 is: 434.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.12 : 723.60 = 290.16 : x
  2. Step 2: Convert to fraction form
    483.12/723.60 = 290.16/x
  3. Step 3: Cross multiply
    483.12x = 723.60 × 290.16
  4. Step 4: Simplify right side
    483.12x = 209,959.78
  5. Step 5: Solve for x
    x = 209,959.78/483.12
  6. Step 6: Final answer
    x = 434.59

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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.