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Finding the Fourth Proportional to 620.64, 856.51 and 340.89

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Solution

The fourth proportional to 620.64, 856.51 and 340.89 is: 470.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.64 : 856.51 = 340.89 : x
  2. Step 2: Convert to fraction form
    620.64/856.51 = 340.89/x
  3. Step 3: Cross multiply
    620.64x = 856.51 × 340.89
  4. Step 4: Simplify right side
    620.64x = 291,971.63
  5. Step 5: Solve for x
    x = 291,971.63/620.64
  6. Step 6: Final answer
    x = 470.44

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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.