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Finding the Fourth Proportional to 421.12, 580.62 and 358.84

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Solution

The fourth proportional to 421.12, 580.62 and 358.84 is: 494.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.12 : 580.62 = 358.84 : x
  2. Step 2: Convert to fraction form
    421.12/580.62 = 358.84/x
  3. Step 3: Cross multiply
    421.12x = 580.62 × 358.84
  4. Step 4: Simplify right side
    421.12x = 208,349.68
  5. Step 5: Solve for x
    x = 208,349.68/421.12
  6. Step 6: Final answer
    x = 494.75

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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.