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Finding the Fourth Proportional to 437.64, 600.03 and 429.84

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Solution

The fourth proportional to 437.64, 600.03 and 429.84 is: 589.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.64 : 600.03 = 429.84 : x
  2. Step 2: Convert to fraction form
    437.64/600.03 = 429.84/x
  3. Step 3: Cross multiply
    437.64x = 600.03 × 429.84
  4. Step 4: Simplify right side
    437.64x = 257,916.90
  5. Step 5: Solve for x
    x = 257,916.90/437.64
  6. Step 6: Final answer
    x = 589.34

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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.