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Finding the Fourth Proportional to 511.46, 705.56 and 312.20

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Solution

The fourth proportional to 511.46, 705.56 and 312.20 is: 430.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.46 : 705.56 = 312.20 : x
  2. Step 2: Convert to fraction form
    511.46/705.56 = 312.20/x
  3. Step 3: Cross multiply
    511.46x = 705.56 × 312.20
  4. Step 4: Simplify right side
    511.46x = 220,270.74
  5. Step 5: Solve for x
    x = 220,270.74/511.46
  6. Step 6: Final answer
    x = 430.67

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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.