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Finding the Fourth Proportional to 620.55, 856.35 and 340.78

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Solution

The fourth proportional to 620.55, 856.35 and 340.78 is: 470.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.55 : 856.35 = 340.78 : x
  2. Step 2: Convert to fraction form
    620.55/856.35 = 340.78/x
  3. Step 3: Cross multiply
    620.55x = 856.35 × 340.78
  4. Step 4: Simplify right side
    620.55x = 291,820.97
  5. Step 5: Solve for x
    x = 291,820.97/620.55
  6. Step 6: Final answer
    x = 470.27

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1.5x scale

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.