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Finding the Fourth Proportional to 656.59, 905.98 and 420.74

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Solution

The fourth proportional to 656.59, 905.98 and 420.74 is: 580.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.59 : 905.98 = 420.74 : x
  2. Step 2: Convert to fraction form
    656.59/905.98 = 420.74/x
  3. Step 3: Cross multiply
    656.59x = 905.98 × 420.74
  4. Step 4: Simplify right side
    656.59x = 381,182.03
  5. Step 5: Solve for x
    x = 381,182.03/656.59
  6. Step 6: Final answer
    x = 580.55

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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.