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Finding the Fourth Proportional to 435.48, 596.67 and 429.69

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Solution

The fourth proportional to 435.48, 596.67 and 429.69 is: 588.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.48 : 596.67 = 429.69 : x
  2. Step 2: Convert to fraction form
    435.48/596.67 = 429.69/x
  3. Step 3: Cross multiply
    435.48x = 596.67 × 429.69
  4. Step 4: Simplify right side
    435.48x = 256,383.13
  5. Step 5: Solve for x
    x = 256,383.13/435.48
  6. Step 6: Final answer
    x = 588.74

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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.