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Finding the Fourth Proportional to 591.16, 884.94 and 374.08

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Solution

The fourth proportional to 591.16, 884.94 and 374.08 is: 559.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.16 : 884.94 = 374.08 : x
  2. Step 2: Convert to fraction form
    591.16/884.94 = 374.08/x
  3. Step 3: Cross multiply
    591.16x = 884.94 × 374.08
  4. Step 4: Simplify right side
    591.16x = 331,038.36
  5. Step 5: Solve for x
    x = 331,038.36/591.16
  6. Step 6: Final answer
    x = 559.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.