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Finding the Fourth Proportional to 856.58, 1,284.41 and 423.74

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Solution

The fourth proportional to 856.58, 1,284.41 and 423.74 is: 635.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.58 : 1,284.41 = 423.74 : x
  2. Step 2: Convert to fraction form
    856.58/1,284.41 = 423.74/x
  3. Step 3: Cross multiply
    856.58x = 1,284.41 × 423.74
  4. Step 4: Simplify right side
    856.58x = 544,247.35
  5. Step 5: Solve for x
    x = 544,247.35/856.58
  6. Step 6: Final answer
    x = 635.38

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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.