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Finding the Fourth Proportional to 570.84, 788.13 and 413.99

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Solution

The fourth proportional to 570.84, 788.13 and 413.99 is: 571.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.84 : 788.13 = 413.99 : x
  2. Step 2: Convert to fraction form
    570.84/788.13 = 413.99/x
  3. Step 3: Cross multiply
    570.84x = 788.13 × 413.99
  4. Step 4: Simplify right side
    570.84x = 326,274.00
  5. Step 5: Solve for x
    x = 326,274.00/570.84
  6. Step 6: Final answer
    x = 571.57

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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.