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Finding the Fourth Proportional to 413.89, 567.91 and 410.02

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Solution

The fourth proportional to 413.89, 567.91 and 410.02 is: 562.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.89 : 567.91 = 410.02 : x
  2. Step 2: Convert to fraction form
    413.89/567.91 = 410.02/x
  3. Step 3: Cross multiply
    413.89x = 567.91 × 410.02
  4. Step 4: Simplify right side
    413.89x = 232,852.41
  5. Step 5: Solve for x
    x = 232,852.41/413.89
  6. Step 6: Final answer
    x = 562.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.