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Finding the Fourth Proportional to 527.89, 728.49 and 288.63

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Solution

The fourth proportional to 527.89, 728.49 and 288.63 is: 398.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.89 : 728.49 = 288.63 : x
  2. Step 2: Convert to fraction form
    527.89/728.49 = 288.63/x
  3. Step 3: Cross multiply
    527.89x = 728.49 × 288.63
  4. Step 4: Simplify right side
    527.89x = 210,262.63
  5. Step 5: Solve for x
    x = 210,262.63/527.89
  6. Step 6: Final answer
    x = 398.31

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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.