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Finding the Fourth Proportional to 309.60, 465.12 and 286.56

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Solution

The fourth proportional to 309.60, 465.12 and 286.56 is: 430.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.60 : 465.12 = 286.56 : x
  2. Step 2: Convert to fraction form
    309.60/465.12 = 286.56/x
  3. Step 3: Cross multiply
    309.60x = 465.12 × 286.56
  4. Step 4: Simplify right side
    309.60x = 133,284.79
  5. Step 5: Solve for x
    x = 133,284.79/309.60
  6. Step 6: Final answer
    x = 430.51

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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.