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Finding the Fourth Proportional to 713.86, 985.74 and 465.08

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Solution

The fourth proportional to 713.86, 985.74 and 465.08 is: 642.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.86 : 985.74 = 465.08 : x
  2. Step 2: Convert to fraction form
    713.86/985.74 = 465.08/x
  3. Step 3: Cross multiply
    713.86x = 985.74 × 465.08
  4. Step 4: Simplify right side
    713.86x = 458,447.96
  5. Step 5: Solve for x
    x = 458,447.96/713.86
  6. Step 6: Final answer
    x = 642.21

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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.