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Finding the Fourth Proportional to 390.18, 582.73 and 353.54

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Solution

The fourth proportional to 390.18, 582.73 and 353.54 is: 528.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.18 : 582.73 = 353.54 : x
  2. Step 2: Convert to fraction form
    390.18/582.73 = 353.54/x
  3. Step 3: Cross multiply
    390.18x = 582.73 × 353.54
  4. Step 4: Simplify right side
    390.18x = 206,018.36
  5. Step 5: Solve for x
    x = 206,018.36/390.18
  6. Step 6: Final answer
    x = 528.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.