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Finding the Fourth Proportional to 527.40, 726.30 and 428.40

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Solution

The fourth proportional to 527.40, 726.30 and 428.40 is: 589.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.40 : 726.30 = 428.40 : x
  2. Step 2: Convert to fraction form
    527.40/726.30 = 428.40/x
  3. Step 3: Cross multiply
    527.40x = 726.30 × 428.40
  4. Step 4: Simplify right side
    527.40x = 311,146.92
  5. Step 5: Solve for x
    x = 311,146.92/527.40
  6. Step 6: Final answer
    x = 589.96

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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.