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Finding the Fourth Proportional to 705.23, 972.19 and 494.74

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Solution

The fourth proportional to 705.23, 972.19 and 494.74 is: 682.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.23 : 972.19 = 494.74 : x
  2. Step 2: Convert to fraction form
    705.23/972.19 = 494.74/x
  3. Step 3: Cross multiply
    705.23x = 972.19 × 494.74
  4. Step 4: Simplify right side
    705.23x = 480,981.28
  5. Step 5: Solve for x
    x = 480,981.28/705.23
  6. Step 6: Final answer
    x = 682.02

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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.