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Finding the Fourth Proportional to 536.93, 741.61 and 412.29

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Solution

The fourth proportional to 536.93, 741.61 and 412.29 is: 569.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.93 : 741.61 = 412.29 : x
  2. Step 2: Convert to fraction form
    536.93/741.61 = 412.29/x
  3. Step 3: Cross multiply
    536.93x = 741.61 × 412.29
  4. Step 4: Simplify right side
    536.93x = 305,756.58
  5. Step 5: Solve for x
    x = 305,756.58/536.93
  6. Step 6: Final answer
    x = 569.45

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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.