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Finding the Fourth Proportional to 429.04, 643.74 and 299.20

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Solution

The fourth proportional to 429.04, 643.74 and 299.20 is: 448.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.04 : 643.74 = 299.20 : x
  2. Step 2: Convert to fraction form
    429.04/643.74 = 299.20/x
  3. Step 3: Cross multiply
    429.04x = 643.74 × 299.20
  4. Step 4: Simplify right side
    429.04x = 192,607.01
  5. Step 5: Solve for x
    x = 192,607.01/429.04
  6. Step 6: Final answer
    x = 448.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.