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Finding the Fourth Proportional to 537.30, 741.90 and 412.77

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Solution

The fourth proportional to 537.30, 741.90 and 412.77 is: 569.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.30 : 741.90 = 412.77 : x
  2. Step 2: Convert to fraction form
    537.30/741.90 = 412.77/x
  3. Step 3: Cross multiply
    537.30x = 741.90 × 412.77
  4. Step 4: Simplify right side
    537.30x = 306,234.06
  5. Step 5: Solve for x
    x = 306,234.06/537.30
  6. Step 6: Final answer
    x = 569.95

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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.