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Finding the Fourth Proportional to 656.68, 905.70 and 420.42

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Solution

The fourth proportional to 656.68, 905.70 and 420.42 is: 579.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.68 : 905.70 = 420.42 : x
  2. Step 2: Convert to fraction form
    656.68/905.70 = 420.42/x
  3. Step 3: Cross multiply
    656.68x = 905.70 × 420.42
  4. Step 4: Simplify right side
    656.68x = 380,774.39
  5. Step 5: Solve for x
    x = 380,774.39/656.68
  6. Step 6: Final answer
    x = 579.85

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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.