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Finding the Fourth Proportional to 577.41, 858.69 and 559.18

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Solution

The fourth proportional to 577.41, 858.69 and 559.18 is: 831.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.41 : 858.69 = 559.18 : x
  2. Step 2: Convert to fraction form
    577.41/858.69 = 559.18/x
  3. Step 3: Cross multiply
    577.41x = 858.69 × 559.18
  4. Step 4: Simplify right side
    577.41x = 480,162.27
  5. Step 5: Solve for x
    x = 480,162.27/577.41
  6. Step 6: Final answer
    x = 831.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.