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Finding the Fourth Proportional to 971.65, 1,457.47 and 241.22

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Solution

The fourth proportional to 971.65, 1,457.47 and 241.22 is: 361.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.65 : 1,457.47 = 241.22 : x
  2. Step 2: Convert to fraction form
    971.65/1,457.47 = 241.22/x
  3. Step 3: Cross multiply
    971.65x = 1,457.47 × 241.22
  4. Step 4: Simplify right side
    971.65x = 351,577.77
  5. Step 5: Solve for x
    x = 351,577.77/971.65
  6. Step 6: Final answer
    x = 361.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.