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Finding the Fourth Proportional to 962.16, 1,441.89 and 413.93

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Solution

The fourth proportional to 962.16, 1,441.89 and 413.93 is: 620.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.16 : 1,441.89 = 413.93 : x
  2. Step 2: Convert to fraction form
    962.16/1,441.89 = 413.93/x
  3. Step 3: Cross multiply
    962.16x = 1,441.89 × 413.93
  4. Step 4: Simplify right side
    962.16x = 596,841.53
  5. Step 5: Solve for x
    x = 596,841.53/962.16
  6. Step 6: Final answer
    x = 620.31

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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.