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Finding the Fourth Proportional to 429.00, 647.36 and 413.74

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Solution

The fourth proportional to 429.00, 647.36 and 413.74 is: 624.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.00 : 647.36 = 413.74 : x
  2. Step 2: Convert to fraction form
    429.00/647.36 = 413.74/x
  3. Step 3: Cross multiply
    429.00x = 647.36 × 413.74
  4. Step 4: Simplify right side
    429.00x = 267,839.02
  5. Step 5: Solve for x
    x = 267,839.02/429.00
  6. Step 6: Final answer
    x = 624.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.