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Finding the Fourth Proportional to 537.03, 741.47 and 412.47

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Solution

The fourth proportional to 537.03, 741.47 and 412.47 is: 569.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.03 : 741.47 = 412.47 : x
  2. Step 2: Convert to fraction form
    537.03/741.47 = 412.47/x
  3. Step 3: Cross multiply
    537.03x = 741.47 × 412.47
  4. Step 4: Simplify right side
    537.03x = 305,832.07
  5. Step 5: Solve for x
    x = 305,832.07/537.03
  6. Step 6: Final answer
    x = 569.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.