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Finding the Fourth Proportional to 413.10, 615.40 and 400.34

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Solution

The fourth proportional to 413.10, 615.40 and 400.34 is: 596.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.10 : 615.40 = 400.34 : x
  2. Step 2: Convert to fraction form
    413.10/615.40 = 400.34/x
  3. Step 3: Cross multiply
    413.10x = 615.40 × 400.34
  4. Step 4: Simplify right side
    413.10x = 246,369.77
  5. Step 5: Solve for x
    x = 246,369.77/413.10
  6. Step 6: Final answer
    x = 596.39

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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.