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Finding the Fourth Proportional to 710.40, 1,065.64 and 223.52

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Solution

The fourth proportional to 710.40, 1,065.64 and 223.52 is: 335.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.40 : 1,065.64 = 223.52 : x
  2. Step 2: Convert to fraction form
    710.40/1,065.64 = 223.52/x
  3. Step 3: Cross multiply
    710.40x = 1,065.64 × 223.52
  4. Step 4: Simplify right side
    710.40x = 238,191.85
  5. Step 5: Solve for x
    x = 238,191.85/710.40
  6. Step 6: Final answer
    x = 335.29

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