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Finding the Fourth Proportional to 494.51, 741.53 and 289.14

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Solution

The fourth proportional to 494.51, 741.53 and 289.14 is: 433.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.51 : 741.53 = 289.14 : x
  2. Step 2: Convert to fraction form
    494.51/741.53 = 289.14/x
  3. Step 3: Cross multiply
    494.51x = 741.53 × 289.14
  4. Step 4: Simplify right side
    494.51x = 214,406.16
  5. Step 5: Solve for x
    x = 214,406.16/494.51
  6. Step 6: Final answer
    x = 433.57

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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.