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Finding the Fourth Proportional to 489.10, 734.06 and 438.07

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Solution

The fourth proportional to 489.10, 734.06 and 438.07 is: 657.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.10 : 734.06 = 438.07 : x
  2. Step 2: Convert to fraction form
    489.10/734.06 = 438.07/x
  3. Step 3: Cross multiply
    489.10x = 734.06 × 438.07
  4. Step 4: Simplify right side
    489.10x = 321,569.66
  5. Step 5: Solve for x
    x = 321,569.66/489.10
  6. Step 6: Final answer
    x = 657.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.