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Finding the Fourth Proportional to 537.60, 737.76 and 527.04

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Solution

The fourth proportional to 537.60, 737.76 and 527.04 is: 723.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.60 : 737.76 = 527.04 : x
  2. Step 2: Convert to fraction form
    537.60/737.76 = 527.04/x
  3. Step 3: Cross multiply
    537.60x = 737.76 × 527.04
  4. Step 4: Simplify right side
    537.60x = 388,829.03
  5. Step 5: Solve for x
    x = 388,829.03/537.60
  6. Step 6: Final answer
    x = 723.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.