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Finding the Fourth Proportional to 536.70, 741.54 and 421.14

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Solution

The fourth proportional to 536.70, 741.54 and 421.14 is: 581.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.70 : 741.54 = 421.14 : x
  2. Step 2: Convert to fraction form
    536.70/741.54 = 421.14/x
  3. Step 3: Cross multiply
    536.70x = 741.54 × 421.14
  4. Step 4: Simplify right side
    536.70x = 312,292.16
  5. Step 5: Solve for x
    x = 312,292.16/536.70
  6. Step 6: Final answer
    x = 581.87

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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.