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Finding the Fourth Proportional to 436.34, 602.22 and 421.92

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Solution

The fourth proportional to 436.34, 602.22 and 421.92 is: 582.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.34 : 602.22 = 421.92 : x
  2. Step 2: Convert to fraction form
    436.34/602.22 = 421.92/x
  3. Step 3: Cross multiply
    436.34x = 602.22 × 421.92
  4. Step 4: Simplify right side
    436.34x = 254,088.66
  5. Step 5: Solve for x
    x = 254,088.66/436.34
  6. Step 6: Final answer
    x = 582.32

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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.