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Finding the Fourth Proportional to 681.60, 940.93 and 457.91

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Solution

The fourth proportional to 681.60, 940.93 and 457.91 is: 632.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.60 : 940.93 = 457.91 : x
  2. Step 2: Convert to fraction form
    681.60/940.93 = 457.91/x
  3. Step 3: Cross multiply
    681.60x = 940.93 × 457.91
  4. Step 4: Simplify right side
    681.60x = 430,855.41
  5. Step 5: Solve for x
    x = 430,855.41/681.60
  6. Step 6: Final answer
    x = 632.12

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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.