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Finding the Fourth Proportional to 681.84, 940.64 and 433.07

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Solution

The fourth proportional to 681.84, 940.64 and 433.07 is: 597.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.84 : 940.64 = 433.07 : x
  2. Step 2: Convert to fraction form
    681.84/940.64 = 433.07/x
  3. Step 3: Cross multiply
    681.84x = 940.64 × 433.07
  4. Step 4: Simplify right side
    681.84x = 407,363.49
  5. Step 5: Solve for x
    x = 407,363.49/681.84
  6. Step 6: Final answer
    x = 597.44

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Double scale
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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.