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Finding the Fourth Proportional to 437.14, 599.34 and 429.34

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Solution

The fourth proportional to 437.14, 599.34 and 429.34 is: 588.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.14 : 599.34 = 429.34 : x
  2. Step 2: Convert to fraction form
    437.14/599.34 = 429.34/x
  3. Step 3: Cross multiply
    437.14x = 599.34 × 429.34
  4. Step 4: Simplify right side
    437.14x = 257,320.64
  5. Step 5: Solve for x
    x = 257,320.64/437.14
  6. Step 6: Final answer
    x = 588.65

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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.