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Finding the Fourth Proportional to 536.77, 741.66 and 427.21

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Solution

The fourth proportional to 536.77, 741.66 and 427.21 is: 590.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.77 : 741.66 = 427.21 : x
  2. Step 2: Convert to fraction form
    536.77/741.66 = 427.21/x
  3. Step 3: Cross multiply
    536.77x = 741.66 × 427.21
  4. Step 4: Simplify right side
    536.77x = 316,844.57
  5. Step 5: Solve for x
    x = 316,844.57/536.77
  6. Step 6: Final answer
    x = 590.28

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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.