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Finding the Fourth Proportional to 423.10, 582.42 and 357.22

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Solution

The fourth proportional to 423.10, 582.42 and 357.22 is: 491.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.10 : 582.42 = 357.22 : x
  2. Step 2: Convert to fraction form
    423.10/582.42 = 357.22/x
  3. Step 3: Cross multiply
    423.10x = 582.42 × 357.22
  4. Step 4: Simplify right side
    423.10x = 208,052.07
  5. Step 5: Solve for x
    x = 208,052.07/423.10
  6. Step 6: Final answer
    x = 491.73

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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.