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Finding the Fourth Proportional to 429.36, 596.58 and 424.84

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Solution

The fourth proportional to 429.36, 596.58 and 424.84 is: 590.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.36 : 596.58 = 424.84 : x
  2. Step 2: Convert to fraction form
    429.36/596.58 = 424.84/x
  3. Step 3: Cross multiply
    429.36x = 596.58 × 424.84
  4. Step 4: Simplify right side
    429.36x = 253,451.05
  5. Step 5: Solve for x
    x = 253,451.05/429.36
  6. Step 6: Final answer
    x = 590.30

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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.