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Finding the Fourth Proportional to 456.68, 629.70 and 368.12

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Solution

The fourth proportional to 456.68, 629.70 and 368.12 is: 507.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.68 : 629.70 = 368.12 : x
  2. Step 2: Convert to fraction form
    456.68/629.70 = 368.12/x
  3. Step 3: Cross multiply
    456.68x = 629.70 × 368.12
  4. Step 4: Simplify right side
    456.68x = 231,805.16
  5. Step 5: Solve for x
    x = 231,805.16/456.68
  6. Step 6: Final answer
    x = 507.59

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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.