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Finding the Fourth Proportional to 656.25, 905.66 and 376.57

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Solution

The fourth proportional to 656.25, 905.66 and 376.57 is: 519.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.25 : 905.66 = 376.57 : x
  2. Step 2: Convert to fraction form
    656.25/905.66 = 376.57/x
  3. Step 3: Cross multiply
    656.25x = 905.66 × 376.57
  4. Step 4: Simplify right side
    656.25x = 341,038.89
  5. Step 5: Solve for x
    x = 341,038.89/656.25
  6. Step 6: Final answer
    x = 519.68

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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.