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Finding the Fourth Proportional to 312.12, 430.65 and 219.24

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Solution

The fourth proportional to 312.12, 430.65 and 219.24 is: 302.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.12 : 430.65 = 219.24 : x
  2. Step 2: Convert to fraction form
    312.12/430.65 = 219.24/x
  3. Step 3: Cross multiply
    312.12x = 430.65 × 219.24
  4. Step 4: Simplify right side
    312.12x = 94,415.71
  5. Step 5: Solve for x
    x = 94,415.71/312.12
  6. Step 6: Final answer
    x = 302.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.