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Finding the Fourth Proportional to 492.90, 684.78 and 488.40

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Solution

The fourth proportional to 492.90, 684.78 and 488.40 is: 678.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.90 : 684.78 = 488.40 : x
  2. Step 2: Convert to fraction form
    492.90/684.78 = 488.40/x
  3. Step 3: Cross multiply
    492.90x = 684.78 × 488.40
  4. Step 4: Simplify right side
    492.90x = 334,446.55
  5. Step 5: Solve for x
    x = 334,446.55/492.90
  6. Step 6: Final answer
    x = 678.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.