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Finding the Fourth Proportional to 506.51, 761.58 and 466.41

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Solution

The fourth proportional to 506.51, 761.58 and 466.41 is: 701.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.51 : 761.58 = 466.41 : x
  2. Step 2: Convert to fraction form
    506.51/761.58 = 466.41/x
  3. Step 3: Cross multiply
    506.51x = 761.58 × 466.41
  4. Step 4: Simplify right side
    506.51x = 355,208.53
  5. Step 5: Solve for x
    x = 355,208.53/506.51
  6. Step 6: Final answer
    x = 701.29

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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.