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Finding the Fourth Proportional to 490.60, 710.65 and 490.60

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Solution

The fourth proportional to 490.60, 710.65 and 490.60 is: 710.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.60 : 710.65 = 490.60 : x
  2. Step 2: Convert to fraction form
    490.60/710.65 = 490.60/x
  3. Step 3: Cross multiply
    490.60x = 710.65 × 490.60
  4. Step 4: Simplify right side
    490.60x = 348,644.89
  5. Step 5: Solve for x
    x = 348,644.89/490.60
  6. Step 6: Final answer
    x = 710.65

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.