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Finding the Fourth Proportional to 710.37, 1,065.72 and 223.41

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Solution

The fourth proportional to 710.37, 1,065.72 and 223.41 is: 335.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.37 : 1,065.72 = 223.41 : x
  2. Step 2: Convert to fraction form
    710.37/1,065.72 = 223.41/x
  3. Step 3: Cross multiply
    710.37x = 1,065.72 × 223.41
  4. Step 4: Simplify right side
    710.37x = 238,092.51
  5. Step 5: Solve for x
    x = 238,092.51/710.37
  6. Step 6: Final answer
    x = 335.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.