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Finding the Fourth Proportional to 619.84, 856.56 and 454.24

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Solution

The fourth proportional to 619.84, 856.56 and 454.24 is: 627.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.84 : 856.56 = 454.24 : x
  2. Step 2: Convert to fraction form
    619.84/856.56 = 454.24/x
  3. Step 3: Cross multiply
    619.84x = 856.56 × 454.24
  4. Step 4: Simplify right side
    619.84x = 389,083.81
  5. Step 5: Solve for x
    x = 389,083.81/619.84
  6. Step 6: Final answer
    x = 627.72

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Why These Related Problems?

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