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Finding the Fourth Proportional to 536.42, 741.21 and 420.86

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Solution

The fourth proportional to 536.42, 741.21 and 420.86 is: 581.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.42 : 741.21 = 420.86 : x
  2. Step 2: Convert to fraction form
    536.42/741.21 = 420.86/x
  3. Step 3: Cross multiply
    536.42x = 741.21 × 420.86
  4. Step 4: Simplify right side
    536.42x = 311,945.64
  5. Step 5: Solve for x
    x = 311,945.64/536.42
  6. Step 6: Final answer
    x = 581.53

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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.