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Finding the Fourth Proportional to 527.49, 792.04 and 354.35

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Solution

The fourth proportional to 527.49, 792.04 and 354.35 is: 532.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.49 : 792.04 = 354.35 : x
  2. Step 2: Convert to fraction form
    527.49/792.04 = 354.35/x
  3. Step 3: Cross multiply
    527.49x = 792.04 × 354.35
  4. Step 4: Simplify right side
    527.49x = 280,659.37
  5. Step 5: Solve for x
    x = 280,659.37/527.49
  6. Step 6: Final answer
    x = 532.07

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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.