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Finding the Fourth Proportional to 506.93, 761.27 and 483.84

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Solution

The fourth proportional to 506.93, 761.27 and 483.84 is: 726.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.93 : 761.27 = 483.84 : x
  2. Step 2: Convert to fraction form
    506.93/761.27 = 483.84/x
  3. Step 3: Cross multiply
    506.93x = 761.27 × 483.84
  4. Step 4: Simplify right side
    506.93x = 368,330.46
  5. Step 5: Solve for x
    x = 368,330.46/506.93
  6. Step 6: Final answer
    x = 726.60

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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.