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Finding the Fourth Proportional to 413.84, 569.76 and 385.88

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Solution

The fourth proportional to 413.84, 569.76 and 385.88 is: 531.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.84 : 569.76 = 385.88 : x
  2. Step 2: Convert to fraction form
    413.84/569.76 = 385.88/x
  3. Step 3: Cross multiply
    413.84x = 569.76 × 385.88
  4. Step 4: Simplify right side
    413.84x = 219,858.99
  5. Step 5: Solve for x
    x = 219,858.99/413.84
  6. Step 6: Final answer
    x = 531.27

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