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Finding the Fourth Proportional to 492.60, 709.92 and 492.60

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Solution

The fourth proportional to 492.60, 709.92 and 492.60 is: 709.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.60 : 709.92 = 492.60 : x
  2. Step 2: Convert to fraction form
    492.60/709.92 = 492.60/x
  3. Step 3: Cross multiply
    492.60x = 709.92 × 492.60
  4. Step 4: Simplify right side
    492.60x = 349,706.59
  5. Step 5: Solve for x
    x = 349,706.59/492.60
  6. Step 6: Final answer
    x = 709.92

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.