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Finding the Fourth Proportional to 571.48, 787.55 and 413.84

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Solution

The fourth proportional to 571.48, 787.55 and 413.84 is: 570.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.48 : 787.55 = 413.84 : x
  2. Step 2: Convert to fraction form
    571.48/787.55 = 413.84/x
  3. Step 3: Cross multiply
    571.48x = 787.55 × 413.84
  4. Step 4: Simplify right side
    571.48x = 325,919.69
  5. Step 5: Solve for x
    x = 325,919.69/571.48
  6. Step 6: Final answer
    x = 570.31

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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.