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Finding the Fourth Proportional to 656.90, 906.49 and 420.52

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Solution

The fourth proportional to 656.90, 906.49 and 420.52 is: 580.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.90 : 906.49 = 420.52 : x
  2. Step 2: Convert to fraction form
    656.90/906.49 = 420.52/x
  3. Step 3: Cross multiply
    656.90x = 906.49 × 420.52
  4. Step 4: Simplify right side
    656.90x = 381,197.17
  5. Step 5: Solve for x
    x = 381,197.17/656.90
  6. Step 6: Final answer
    x = 580.30

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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.