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Finding the Fourth Proportional to 511.65, 705.87 and 312.41

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Solution

The fourth proportional to 511.65, 705.87 and 312.41 is: 431.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.65 : 705.87 = 312.41 : x
  2. Step 2: Convert to fraction form
    511.65/705.87 = 312.41/x
  3. Step 3: Cross multiply
    511.65x = 705.87 × 312.41
  4. Step 4: Simplify right side
    511.65x = 220,522.61
  5. Step 5: Solve for x
    x = 220,522.61/511.65
  6. Step 6: Final answer
    x = 431.00

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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.