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Finding the Fourth Proportional to 527.84, 792.10 and 253.96

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Solution

The fourth proportional to 527.84, 792.10 and 253.96 is: 381.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.84 : 792.10 = 253.96 : x
  2. Step 2: Convert to fraction form
    527.84/792.10 = 253.96/x
  3. Step 3: Cross multiply
    527.84x = 792.10 × 253.96
  4. Step 4: Simplify right side
    527.84x = 201,163.08
  5. Step 5: Solve for x
    x = 201,163.08/527.84
  6. Step 6: Final answer
    x = 381.10

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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.