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Finding the Fourth Proportional to 620.68, 856.27 and 384.57

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Solution

The fourth proportional to 620.68, 856.27 and 384.57 is: 530.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.68 : 856.27 = 384.57 : x
  2. Step 2: Convert to fraction form
    620.68/856.27 = 384.57/x
  3. Step 3: Cross multiply
    620.68x = 856.27 × 384.57
  4. Step 4: Simplify right side
    620.68x = 329,289.55
  5. Step 5: Solve for x
    x = 329,289.55/620.68
  6. Step 6: Final answer
    x = 530.53

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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.