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Finding the Fourth Proportional to 701.71, 968.53 and 407.16

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Solution

The fourth proportional to 701.71, 968.53 and 407.16 is: 561.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.71 : 968.53 = 407.16 : x
  2. Step 2: Convert to fraction form
    701.71/968.53 = 407.16/x
  3. Step 3: Cross multiply
    701.71x = 968.53 × 407.16
  4. Step 4: Simplify right side
    701.71x = 394,346.67
  5. Step 5: Solve for x
    x = 394,346.67/701.71
  6. Step 6: Final answer
    x = 561.98

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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.