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Finding the Fourth Proportional to 716.92, 1,075.68 and 306.14

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Solution

The fourth proportional to 716.92, 1,075.68 and 306.14 is: 459.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.92 : 1,075.68 = 306.14 : x
  2. Step 2: Convert to fraction form
    716.92/1,075.68 = 306.14/x
  3. Step 3: Cross multiply
    716.92x = 1,075.68 × 306.14
  4. Step 4: Simplify right side
    716.92x = 329,308.68
  5. Step 5: Solve for x
    x = 329,308.68/716.92
  6. Step 6: Final answer
    x = 459.34

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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.