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Finding the Fourth Proportional to 706, 974.55 and 473.26

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Solution

The fourth proportional to 706, 974.55 and 473.26 is: 653.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    706 : 974.55 = 473.26 : x
  2. Step 2: Convert to fraction form
    706/974.55 = 473.26/x
  3. Step 3: Cross multiply
    706x = 974.55 × 473.26
  4. Step 4: Simplify right side
    706x = 461,215.53
  5. Step 5: Solve for x
    x = 461,215.53/706
  6. Step 6: Final answer
    x = 653.28

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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.