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Finding the Fourth Proportional to 421.85, 582.32 and 256.08

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Solution

The fourth proportional to 421.85, 582.32 and 256.08 is: 353.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.85 : 582.32 = 256.08 : x
  2. Step 2: Convert to fraction form
    421.85/582.32 = 256.08/x
  3. Step 3: Cross multiply
    421.85x = 582.32 × 256.08
  4. Step 4: Simplify right side
    421.85x = 149,119.23
  5. Step 5: Solve for x
    x = 149,119.23/421.85
  6. Step 6: Final answer
    x = 353.49

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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.