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Finding the Fourth Proportional to 656.22, 905.67 and 424.02

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Solution

The fourth proportional to 656.22, 905.67 and 424.02 is: 585.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.22 : 905.67 = 424.02 : x
  2. Step 2: Convert to fraction form
    656.22/905.67 = 424.02/x
  3. Step 3: Cross multiply
    656.22x = 905.67 × 424.02
  4. Step 4: Simplify right side
    656.22x = 384,022.19
  5. Step 5: Solve for x
    x = 384,022.19/656.22
  6. Step 6: Final answer
    x = 585.20

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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.