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Finding the Fourth Proportional to 582.34, 872.74 and 427.54

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Solution

The fourth proportional to 582.34, 872.74 and 427.54 is: 640.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.34 : 872.74 = 427.54 : x
  2. Step 2: Convert to fraction form
    582.34/872.74 = 427.54/x
  3. Step 3: Cross multiply
    582.34x = 872.74 × 427.54
  4. Step 4: Simplify right side
    582.34x = 373,128.01
  5. Step 5: Solve for x
    x = 373,128.01/582.34
  6. Step 6: Final answer
    x = 640.74

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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.