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Finding the Fourth Proportional to 527.88, 728.10 and 362.10

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Solution

The fourth proportional to 527.88, 728.10 and 362.10 is: 499.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.88 : 728.10 = 362.10 : x
  2. Step 2: Convert to fraction form
    527.88/728.10 = 362.10/x
  3. Step 3: Cross multiply
    527.88x = 728.10 × 362.10
  4. Step 4: Simplify right side
    527.88x = 263,645.01
  5. Step 5: Solve for x
    x = 263,645.01/527.88
  6. Step 6: Final answer
    x = 499.44

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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.