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Finding the Fourth Proportional to 435.07, 596.37 and 429.23

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Solution

The fourth proportional to 435.07, 596.37 and 429.23 is: 588.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.07 : 596.37 = 429.23 : x
  2. Step 2: Convert to fraction form
    435.07/596.37 = 429.23/x
  3. Step 3: Cross multiply
    435.07x = 596.37 × 429.23
  4. Step 4: Simplify right side
    435.07x = 255,981.39
  5. Step 5: Solve for x
    x = 255,981.39/435.07
  6. Step 6: Final answer
    x = 588.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.