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Finding the Fourth Proportional to 656.41, 906.16 and 407.90

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Solution

The fourth proportional to 656.41, 906.16 and 407.90 is: 563.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.41 : 906.16 = 407.90 : x
  2. Step 2: Convert to fraction form
    656.41/906.16 = 407.90/x
  3. Step 3: Cross multiply
    656.41x = 906.16 × 407.90
  4. Step 4: Simplify right side
    656.41x = 369,618.13
  5. Step 5: Solve for x
    x = 369,618.13/656.41
  6. Step 6: Final answer
    x = 563.09

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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.