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Finding the Fourth Proportional to 656.84, 906.50 and 362.14

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Solution

The fourth proportional to 656.84, 906.50 and 362.14 is: 499.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.84 : 906.50 = 362.14 : x
  2. Step 2: Convert to fraction form
    656.84/906.50 = 362.14/x
  3. Step 3: Cross multiply
    656.84x = 906.50 × 362.14
  4. Step 4: Simplify right side
    656.84x = 328,278.55
  5. Step 5: Solve for x
    x = 328,278.55/656.84
  6. Step 6: Final answer
    x = 499.78

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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.