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Finding the Fourth Proportional to 933.37, 1,400.16 and 413.15

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Solution

The fourth proportional to 933.37, 1,400.16 and 413.15 is: 619.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.37 : 1,400.16 = 413.15 : x
  2. Step 2: Convert to fraction form
    933.37/1,400.16 = 413.15/x
  3. Step 3: Cross multiply
    933.37x = 1,400.16 × 413.15
  4. Step 4: Simplify right side
    933.37x = 578,476.10
  5. Step 5: Solve for x
    x = 578,476.10/933.37
  6. Step 6: Final answer
    x = 619.77

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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.