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Finding the Fourth Proportional to 656.40, 905.36 and 417.06

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Solution

The fourth proportional to 656.40, 905.36 and 417.06 is: 575.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.40 : 905.36 = 417.06 : x
  2. Step 2: Convert to fraction form
    656.40/905.36 = 417.06/x
  3. Step 3: Cross multiply
    656.40x = 905.36 × 417.06
  4. Step 4: Simplify right side
    656.40x = 377,589.44
  5. Step 5: Solve for x
    x = 377,589.44/656.40
  6. Step 6: Final answer
    x = 575.24

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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.