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Finding the Fourth Proportional to 522.57, 719.08 and 427.19

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Solution

The fourth proportional to 522.57, 719.08 and 427.19 is: 587.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.57 : 719.08 = 427.19 : x
  2. Step 2: Convert to fraction form
    522.57/719.08 = 427.19/x
  3. Step 3: Cross multiply
    522.57x = 719.08 × 427.19
  4. Step 4: Simplify right side
    522.57x = 307,183.79
  5. Step 5: Solve for x
    x = 307,183.79/522.57
  6. Step 6: Final answer
    x = 587.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.