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Finding the Fourth Proportional to 350.48, 483.72 and 292.24

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Solution

The fourth proportional to 350.48, 483.72 and 292.24 is: 403.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.48 : 483.72 = 292.24 : x
  2. Step 2: Convert to fraction form
    350.48/483.72 = 292.24/x
  3. Step 3: Cross multiply
    350.48x = 483.72 × 292.24
  4. Step 4: Simplify right side
    350.48x = 141,362.33
  5. Step 5: Solve for x
    x = 141,362.33/350.48
  6. Step 6: Final answer
    x = 403.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.