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Finding the Fourth Proportional to 484.14, 669.36 and 428.75

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Solution

The fourth proportional to 484.14, 669.36 and 428.75 is: 592.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.14 : 669.36 = 428.75 : x
  2. Step 2: Convert to fraction form
    484.14/669.36 = 428.75/x
  3. Step 3: Cross multiply
    484.14x = 669.36 × 428.75
  4. Step 4: Simplify right side
    484.14x = 286,988.10
  5. Step 5: Solve for x
    x = 286,988.10/484.14
  6. Step 6: Final answer
    x = 592.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.