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Finding the Fourth Proportional to 537.41, 746.76 and 530.53

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Solution

The fourth proportional to 537.41, 746.76 and 530.53 is: 737.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.41 : 746.76 = 530.53 : x
  2. Step 2: Convert to fraction form
    537.41/746.76 = 530.53/x
  3. Step 3: Cross multiply
    537.41x = 746.76 × 530.53
  4. Step 4: Simplify right side
    537.41x = 396,178.58
  5. Step 5: Solve for x
    x = 396,178.58/537.41
  6. Step 6: Final answer
    x = 737.20

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.