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Finding the Fourth Proportional to 505.56, 754.71 and 460.20

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Solution

The fourth proportional to 505.56, 754.71 and 460.20 is: 687.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.56 : 754.71 = 460.20 : x
  2. Step 2: Convert to fraction form
    505.56/754.71 = 460.20/x
  3. Step 3: Cross multiply
    505.56x = 754.71 × 460.20
  4. Step 4: Simplify right side
    505.56x = 347,317.54
  5. Step 5: Solve for x
    x = 347,317.54/505.56
  6. Step 6: Final answer
    x = 687.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.