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Finding the Fourth Proportional to 594.36, 885.72 and 577.68

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Solution

The fourth proportional to 594.36, 885.72 and 577.68 is: 860.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.36 : 885.72 = 577.68 : x
  2. Step 2: Convert to fraction form
    594.36/885.72 = 577.68/x
  3. Step 3: Cross multiply
    594.36x = 885.72 × 577.68
  4. Step 4: Simplify right side
    594.36x = 511,662.73
  5. Step 5: Solve for x
    x = 511,662.73/594.36
  6. Step 6: Final answer
    x = 860.86

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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.