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Finding the Fourth Proportional to 506.84, 700.18 and 382.50

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Solution

The fourth proportional to 506.84, 700.18 and 382.50 is: 528.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.84 : 700.18 = 382.50 : x
  2. Step 2: Convert to fraction form
    506.84/700.18 = 382.50/x
  3. Step 3: Cross multiply
    506.84x = 700.18 × 382.50
  4. Step 4: Simplify right side
    506.84x = 267,817.89
  5. Step 5: Solve for x
    x = 267,817.89/506.84
  6. Step 6: Final answer
    x = 528.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.