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Finding the Fourth Proportional to 511.32, 705.44 and 312.08

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Solution

The fourth proportional to 511.32, 705.44 and 312.08 is: 430.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.32 : 705.44 = 312.08 : x
  2. Step 2: Convert to fraction form
    511.32/705.44 = 312.08/x
  3. Step 3: Cross multiply
    511.32x = 705.44 × 312.08
  4. Step 4: Simplify right side
    511.32x = 220,148.63
  5. Step 5: Solve for x
    x = 220,148.63/511.32
  6. Step 6: Final answer
    x = 430.55

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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.