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Finding the Fourth Proportional to 473.24, 706.67 and 386.74

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Solution

The fourth proportional to 473.24, 706.67 and 386.74 is: 577.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.24 : 706.67 = 386.74 : x
  2. Step 2: Convert to fraction form
    473.24/706.67 = 386.74/x
  3. Step 3: Cross multiply
    473.24x = 706.67 × 386.74
  4. Step 4: Simplify right side
    473.24x = 273,297.56
  5. Step 5: Solve for x
    x = 273,297.56/473.24
  6. Step 6: Final answer
    x = 577.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.