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Finding the Fourth Proportional to 933.55, 1,400.27 and 413.40

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Solution

The fourth proportional to 933.55, 1,400.27 and 413.40 is: 620.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.55 : 1,400.27 = 413.40 : x
  2. Step 2: Convert to fraction form
    933.55/1,400.27 = 413.40/x
  3. Step 3: Cross multiply
    933.55x = 1,400.27 × 413.40
  4. Step 4: Simplify right side
    933.55x = 578,871.62
  5. Step 5: Solve for x
    x = 578,871.62/933.55
  6. Step 6: Final answer
    x = 620.08

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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.