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Finding the Fourth Proportional to 382.53, 527.93 and 294.10

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Solution

The fourth proportional to 382.53, 527.93 and 294.10 is: 405.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.53 : 527.93 = 294.10 : x
  2. Step 2: Convert to fraction form
    382.53/527.93 = 294.10/x
  3. Step 3: Cross multiply
    382.53x = 527.93 × 294.10
  4. Step 4: Simplify right side
    382.53x = 155,264.21
  5. Step 5: Solve for x
    x = 155,264.21/382.53
  6. Step 6: Final answer
    x = 405.89

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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.