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Finding the Fourth Proportional to 511.31, 705.61 and 487.01

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Solution

The fourth proportional to 511.31, 705.61 and 487.01 is: 672.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.31 : 705.61 = 487.01 : x
  2. Step 2: Convert to fraction form
    511.31/705.61 = 487.01/x
  3. Step 3: Cross multiply
    511.31x = 705.61 × 487.01
  4. Step 4: Simplify right side
    511.31x = 343,641.50
  5. Step 5: Solve for x
    x = 343,641.50/511.31
  6. Step 6: Final answer
    x = 672.08

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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.