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Finding the Fourth Proportional to 536.92, 741.28 and 412.35

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Solution

The fourth proportional to 536.92, 741.28 and 412.35 is: 569.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.92 : 741.28 = 412.35 : x
  2. Step 2: Convert to fraction form
    536.92/741.28 = 412.35/x
  3. Step 3: Cross multiply
    536.92x = 741.28 × 412.35
  4. Step 4: Simplify right side
    536.92x = 305,666.81
  5. Step 5: Solve for x
    x = 305,666.81/536.92
  6. Step 6: Final answer
    x = 569.30

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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.