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Finding the Fourth Proportional to 571.48, 787.56 and 413.84

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Solution

The fourth proportional to 571.48, 787.56 and 413.84 is: 570.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.48 : 787.56 = 413.84 : x
  2. Step 2: Convert to fraction form
    571.48/787.56 = 413.84/x
  3. Step 3: Cross multiply
    571.48x = 787.56 × 413.84
  4. Step 4: Simplify right side
    571.48x = 325,921.76
  5. Step 5: Solve for x
    x = 325,921.76/571.48
  6. Step 6: Final answer
    x = 570.32

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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.