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Finding the Fourth Proportional to 527.48, 728.04 and 306.52

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Solution

The fourth proportional to 527.48, 728.04 and 306.52 is: 423.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.48 : 728.04 = 306.52 : x
  2. Step 2: Convert to fraction form
    527.48/728.04 = 306.52/x
  3. Step 3: Cross multiply
    527.48x = 728.04 × 306.52
  4. Step 4: Simplify right side
    527.48x = 223,158.82
  5. Step 5: Solve for x
    x = 223,158.82/527.48
  6. Step 6: Final answer
    x = 423.07

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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.