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Finding the Fourth Proportional to 387.68, 582.16 and 236.64

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Solution

The fourth proportional to 387.68, 582.16 and 236.64 is: 355.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.68 : 582.16 = 236.64 : x
  2. Step 2: Convert to fraction form
    387.68/582.16 = 236.64/x
  3. Step 3: Cross multiply
    387.68x = 582.16 × 236.64
  4. Step 4: Simplify right side
    387.68x = 137,762.34
  5. Step 5: Solve for x
    x = 137,762.34/387.68
  6. Step 6: Final answer
    x = 355.35

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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.