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Finding the Fourth Proportional to 527.84, 792.30 and 383.84

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Solution

The fourth proportional to 527.84, 792.30 and 383.84 is: 576.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.84 : 792.30 = 383.84 : x
  2. Step 2: Convert to fraction form
    527.84/792.30 = 383.84/x
  3. Step 3: Cross multiply
    527.84x = 792.30 × 383.84
  4. Step 4: Simplify right side
    527.84x = 304,116.43
  5. Step 5: Solve for x
    x = 304,116.43/527.84
  6. Step 6: Final answer
    x = 576.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.