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Finding the Fourth Proportional to 454.87, 683.52 and 347.14

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Solution

The fourth proportional to 454.87, 683.52 and 347.14 is: 521.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.87 : 683.52 = 347.14 : x
  2. Step 2: Convert to fraction form
    454.87/683.52 = 347.14/x
  3. Step 3: Cross multiply
    454.87x = 683.52 × 347.14
  4. Step 4: Simplify right side
    454.87x = 237,277.13
  5. Step 5: Solve for x
    x = 237,277.13/454.87
  6. Step 6: Final answer
    x = 521.64

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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.