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Finding the Fourth Proportional to 489.36, 734.16 and 245.76

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Solution

The fourth proportional to 489.36, 734.16 and 245.76 is: 368.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.36 : 734.16 = 245.76 : x
  2. Step 2: Convert to fraction form
    489.36/734.16 = 245.76/x
  3. Step 3: Cross multiply
    489.36x = 734.16 × 245.76
  4. Step 4: Simplify right side
    489.36x = 180,427.16
  5. Step 5: Solve for x
    x = 180,427.16/489.36
  6. Step 6: Final answer
    x = 368.70

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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.