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Finding the Fourth Proportional to 622.56, 859.12 and 346.56

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Solution

The fourth proportional to 622.56, 859.12 and 346.56 is: 478.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.56 : 859.12 = 346.56 : x
  2. Step 2: Convert to fraction form
    622.56/859.12 = 346.56/x
  3. Step 3: Cross multiply
    622.56x = 859.12 × 346.56
  4. Step 4: Simplify right side
    622.56x = 297,736.63
  5. Step 5: Solve for x
    x = 297,736.63/622.56
  6. Step 6: Final answer
    x = 478.25

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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.