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Finding the Fourth Proportional to 430.54, 596.65 and 422.33

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Solution

The fourth proportional to 430.54, 596.65 and 422.33 is: 585.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.54 : 596.65 = 422.33 : x
  2. Step 2: Convert to fraction form
    430.54/596.65 = 422.33/x
  3. Step 3: Cross multiply
    430.54x = 596.65 × 422.33
  4. Step 4: Simplify right side
    430.54x = 251,981.08
  5. Step 5: Solve for x
    x = 251,981.08/430.54
  6. Step 6: Final answer
    x = 585.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.