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Finding the Fourth Proportional to 681.93, 941.56 and 420.30

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Solution

The fourth proportional to 681.93, 941.56 and 420.30 is: 580.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.93 : 941.56 = 420.30 : x
  2. Step 2: Convert to fraction form
    681.93/941.56 = 420.30/x
  3. Step 3: Cross multiply
    681.93x = 941.56 × 420.30
  4. Step 4: Simplify right side
    681.93x = 395,737.67
  5. Step 5: Solve for x
    x = 395,737.67/681.93
  6. Step 6: Final answer
    x = 580.32

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1.5x scale

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.