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Finding the Fourth Proportional to 656.46, 905.38 and 407.31

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Solution

The fourth proportional to 656.46, 905.38 and 407.31 is: 561.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.46 : 905.38 = 407.31 : x
  2. Step 2: Convert to fraction form
    656.46/905.38 = 407.31/x
  3. Step 3: Cross multiply
    656.46x = 905.38 × 407.31
  4. Step 4: Simplify right side
    656.46x = 368,770.33
  5. Step 5: Solve for x
    x = 368,770.33/656.46
  6. Step 6: Final answer
    x = 561.76

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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.