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Finding the Fourth Proportional to 526.44, 726.51 and 330

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Solution

The fourth proportional to 526.44, 726.51 and 330 is: 455.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.44 : 726.51 = 330 : x
  2. Step 2: Convert to fraction form
    526.44/726.51 = 330/x
  3. Step 3: Cross multiply
    526.44x = 726.51 × 330
  4. Step 4: Simplify right side
    526.44x = 239,748.30
  5. Step 5: Solve for x
    x = 239,748.30/526.44
  6. Step 6: Final answer
    x = 455.41

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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.