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Finding the Fourth Proportional to 429.04, 640.45 and 377.14

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Solution

The fourth proportional to 429.04, 640.45 and 377.14 is: 562.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.04 : 640.45 = 377.14 : x
  2. Step 2: Convert to fraction form
    429.04/640.45 = 377.14/x
  3. Step 3: Cross multiply
    429.04x = 640.45 × 377.14
  4. Step 4: Simplify right side
    429.04x = 241,539.31
  5. Step 5: Solve for x
    x = 241,539.31/429.04
  6. Step 6: Final answer
    x = 562.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.