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Finding the Fourth Proportional to 429.74, 643.86 and 384.10

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Solution

The fourth proportional to 429.74, 643.86 and 384.10 is: 575.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.74 : 643.86 = 384.10 : x
  2. Step 2: Convert to fraction form
    429.74/643.86 = 384.10/x
  3. Step 3: Cross multiply
    429.74x = 643.86 × 384.10
  4. Step 4: Simplify right side
    429.74x = 247,306.63
  5. Step 5: Solve for x
    x = 247,306.63/429.74
  6. Step 6: Final answer
    x = 575.48

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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.