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Finding the Fourth Proportional to 656.56, 906.23 and 420.49

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Solution

The fourth proportional to 656.56, 906.23 and 420.49 is: 580.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.56 : 906.23 = 420.49 : x
  2. Step 2: Convert to fraction form
    656.56/906.23 = 420.49/x
  3. Step 3: Cross multiply
    656.56x = 906.23 × 420.49
  4. Step 4: Simplify right side
    656.56x = 381,054.02
  5. Step 5: Solve for x
    x = 381,054.02/656.56
  6. Step 6: Final answer
    x = 580.38

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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.