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Finding the Fourth Proportional to 507.96, 695.93 and 489.29

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Solution

The fourth proportional to 507.96, 695.93 and 489.29 is: 670.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.96 : 695.93 = 489.29 : x
  2. Step 2: Convert to fraction form
    507.96/695.93 = 489.29/x
  3. Step 3: Cross multiply
    507.96x = 695.93 × 489.29
  4. Step 4: Simplify right side
    507.96x = 340,505.66
  5. Step 5: Solve for x
    x = 340,505.66/507.96
  6. Step 6: Final answer
    x = 670.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.