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Finding the Fourth Proportional to 309.01, 463.53 and 289.57

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Solution

The fourth proportional to 309.01, 463.53 and 289.57 is: 434.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.01 : 463.53 = 289.57 : x
  2. Step 2: Convert to fraction form
    309.01/463.53 = 289.57/x
  3. Step 3: Cross multiply
    309.01x = 463.53 × 289.57
  4. Step 4: Simplify right side
    309.01x = 134,224.38
  5. Step 5: Solve for x
    x = 134,224.38/309.01
  6. Step 6: Final answer
    x = 434.37

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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.