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Finding the Fourth Proportional to 527.86, 728.46 and 306.84

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Solution

The fourth proportional to 527.86, 728.46 and 306.84 is: 423.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.86 : 728.46 = 306.84 : x
  2. Step 2: Convert to fraction form
    527.86/728.46 = 306.84/x
  3. Step 3: Cross multiply
    527.86x = 728.46 × 306.84
  4. Step 4: Simplify right side
    527.86x = 223,520.67
  5. Step 5: Solve for x
    x = 223,520.67/527.86
  6. Step 6: Final answer
    x = 423.45

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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.