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Finding the Fourth Proportional to 491.87, 736.46 and 460.28

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Solution

The fourth proportional to 491.87, 736.46 and 460.28 is: 689.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.87 : 736.46 = 460.28 : x
  2. Step 2: Convert to fraction form
    491.87/736.46 = 460.28/x
  3. Step 3: Cross multiply
    491.87x = 736.46 × 460.28
  4. Step 4: Simplify right side
    491.87x = 338,975.51
  5. Step 5: Solve for x
    x = 338,975.51/491.87
  6. Step 6: Final answer
    x = 689.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.