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Finding the Fourth Proportional to 603.14, 899.62 and 584.91

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Solution

The fourth proportional to 603.14, 899.62 and 584.91 is: 872.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.14 : 899.62 = 584.91 : x
  2. Step 2: Convert to fraction form
    603.14/899.62 = 584.91/x
  3. Step 3: Cross multiply
    603.14x = 899.62 × 584.91
  4. Step 4: Simplify right side
    603.14x = 526,193.81
  5. Step 5: Solve for x
    x = 526,193.81/603.14
  6. Step 6: Final answer
    x = 872.42

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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.