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Finding the Fourth Proportional to 701.99, 968.67 and 407.35

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Solution

The fourth proportional to 701.99, 968.67 and 407.35 is: 562.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.99 : 968.67 = 407.35 : x
  2. Step 2: Convert to fraction form
    701.99/968.67 = 407.35/x
  3. Step 3: Cross multiply
    701.99x = 968.67 × 407.35
  4. Step 4: Simplify right side
    701.99x = 394,587.72
  5. Step 5: Solve for x
    x = 394,587.72/701.99
  6. Step 6: Final answer
    x = 562.10

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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.