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Finding the Fourth Proportional to 527.95, 728.65 and 306.92

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Solution

The fourth proportional to 527.95, 728.65 and 306.92 is: 423.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.95 : 728.65 = 306.92 : x
  2. Step 2: Convert to fraction form
    527.95/728.65 = 306.92/x
  3. Step 3: Cross multiply
    527.95x = 728.65 × 306.92
  4. Step 4: Simplify right side
    527.95x = 223,632.08
  5. Step 5: Solve for x
    x = 223,632.08/527.95
  6. Step 6: Final answer
    x = 423.59

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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.