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Finding the Fourth Proportional to 527.08, 792.06 and 363.64

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Solution

The fourth proportional to 527.08, 792.06 and 363.64 is: 546.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.08 : 792.06 = 363.64 : x
  2. Step 2: Convert to fraction form
    527.08/792.06 = 363.64/x
  3. Step 3: Cross multiply
    527.08x = 792.06 × 363.64
  4. Step 4: Simplify right side
    527.08x = 288,024.70
  5. Step 5: Solve for x
    x = 288,024.70/527.08
  6. Step 6: Final answer
    x = 546.45

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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.