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Finding the Fourth Proportional to 462.16, 636.42 and 413.02

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Solution

The fourth proportional to 462.16, 636.42 and 413.02 is: 568.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.16 : 636.42 = 413.02 : x
  2. Step 2: Convert to fraction form
    462.16/636.42 = 413.02/x
  3. Step 3: Cross multiply
    462.16x = 636.42 × 413.02
  4. Step 4: Simplify right side
    462.16x = 262,854.19
  5. Step 5: Solve for x
    x = 262,854.19/462.16
  6. Step 6: Final answer
    x = 568.75

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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.