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Finding the Fourth Proportional to 656.76, 905.94 and 424.02

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Solution

The fourth proportional to 656.76, 905.94 and 424.02 is: 584.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.76 : 905.94 = 424.02 : x
  2. Step 2: Convert to fraction form
    656.76/905.94 = 424.02/x
  3. Step 3: Cross multiply
    656.76x = 905.94 × 424.02
  4. Step 4: Simplify right side
    656.76x = 384,136.68
  5. Step 5: Solve for x
    x = 384,136.68/656.76
  6. Step 6: Final answer
    x = 584.90

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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.