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Finding the Fourth Proportional to 710.98, 1,065.68 and 300

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Solution

The fourth proportional to 710.98, 1,065.68 and 300 is: 449.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.98 : 1,065.68 = 300 : x
  2. Step 2: Convert to fraction form
    710.98/1,065.68 = 300/x
  3. Step 3: Cross multiply
    710.98x = 1,065.68 × 300
  4. Step 4: Simplify right side
    710.98x = 319,704
  5. Step 5: Solve for x
    x = 319,704/710.98
  6. Step 6: Final answer
    x = 449.67

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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.