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Finding the Fourth Proportional to 420.80, 625.10 and 413.60

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Solution

The fourth proportional to 420.80, 625.10 and 413.60 is: 614.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.80 : 625.10 = 413.60 : x
  2. Step 2: Convert to fraction form
    420.80/625.10 = 413.60/x
  3. Step 3: Cross multiply
    420.80x = 625.10 × 413.60
  4. Step 4: Simplify right side
    420.80x = 258,541.36
  5. Step 5: Solve for x
    x = 258,541.36/420.80
  6. Step 6: Final answer
    x = 614.40

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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.