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Finding the Fourth Proportional to 620.58, 856.36 and 340.76

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Solution

The fourth proportional to 620.58, 856.36 and 340.76 is: 470.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.58 : 856.36 = 340.76 : x
  2. Step 2: Convert to fraction form
    620.58/856.36 = 340.76/x
  3. Step 3: Cross multiply
    620.58x = 856.36 × 340.76
  4. Step 4: Simplify right side
    620.58x = 291,813.23
  5. Step 5: Solve for x
    x = 291,813.23/620.58
  6. Step 6: Final answer
    x = 470.23

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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.