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Finding the Fourth Proportional to 656.10, 905.38 and 407.43

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Solution

The fourth proportional to 656.10, 905.38 and 407.43 is: 562.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.10 : 905.38 = 407.43 : x
  2. Step 2: Convert to fraction form
    656.10/905.38 = 407.43/x
  3. Step 3: Cross multiply
    656.10x = 905.38 × 407.43
  4. Step 4: Simplify right side
    656.10x = 368,877.95
  5. Step 5: Solve for x
    x = 368,877.95/656.10
  6. Step 6: Final answer
    x = 562.23

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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.