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Finding the Fourth Proportional to 491.60, 712.10 and 491.60

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Solution

The fourth proportional to 491.60, 712.10 and 491.60 is: 712.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.60 : 712.10 = 491.60 : x
  2. Step 2: Convert to fraction form
    491.60/712.10 = 491.60/x
  3. Step 3: Cross multiply
    491.60x = 712.10 × 491.60
  4. Step 4: Simplify right side
    491.60x = 350,068.36
  5. Step 5: Solve for x
    x = 350,068.36/491.60
  6. Step 6: Final answer
    x = 712.10

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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.