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Finding the Fourth Proportional to 505.51, 760.07 and 465.41

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Solution

The fourth proportional to 505.51, 760.07 and 465.41 is: 699.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.51 : 760.07 = 465.41 : x
  2. Step 2: Convert to fraction form
    505.51/760.07 = 465.41/x
  3. Step 3: Cross multiply
    505.51x = 760.07 × 465.41
  4. Step 4: Simplify right side
    505.51x = 353,747.24
  5. Step 5: Solve for x
    x = 353,747.24/505.51
  6. Step 6: Final answer
    x = 699.79

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