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Finding the Fourth Proportional to 416.64, 574.02 and 300

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Solution

The fourth proportional to 416.64, 574.02 and 300 is: 413.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.64 : 574.02 = 300 : x
  2. Step 2: Convert to fraction form
    416.64/574.02 = 300/x
  3. Step 3: Cross multiply
    416.64x = 574.02 × 300
  4. Step 4: Simplify right side
    416.64x = 172,206
  5. Step 5: Solve for x
    x = 172,206/416.64
  6. Step 6: Final answer
    x = 413.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.