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Finding the Fourth Proportional to 289.49, 430.77 and 279.56

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Solution

The fourth proportional to 289.49, 430.77 and 279.56 is: 416.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.49 : 430.77 = 279.56 : x
  2. Step 2: Convert to fraction form
    289.49/430.77 = 279.56/x
  3. Step 3: Cross multiply
    289.49x = 430.77 × 279.56
  4. Step 4: Simplify right side
    289.49x = 120,428.19
  5. Step 5: Solve for x
    x = 120,428.19/289.49
  6. Step 6: Final answer
    x = 416.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.