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Finding the Fourth Proportional to 505.01, 756.70 and 456.41

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Solution

The fourth proportional to 505.01, 756.70 and 456.41 is: 683.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.01 : 756.70 = 456.41 : x
  2. Step 2: Convert to fraction form
    505.01/756.70 = 456.41/x
  3. Step 3: Cross multiply
    505.01x = 756.70 × 456.41
  4. Step 4: Simplify right side
    505.01x = 345,360.52
  5. Step 5: Solve for x
    x = 345,360.52/505.01
  6. Step 6: Final answer
    x = 683.88

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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.