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Finding the Fourth Proportional to 971.70, 1,457.52 and 241.28

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Solution

The fourth proportional to 971.70, 1,457.52 and 241.28 is: 361.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.70 : 1,457.52 = 241.28 : x
  2. Step 2: Convert to fraction form
    971.70/1,457.52 = 241.28/x
  3. Step 3: Cross multiply
    971.70x = 1,457.52 × 241.28
  4. Step 4: Simplify right side
    971.70x = 351,663.14
  5. Step 5: Solve for x
    x = 351,663.14/971.70
  6. Step 6: Final answer
    x = 361.91

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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.