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Finding the Fourth Proportional to 536.83, 741.20 and 424.62

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Solution

The fourth proportional to 536.83, 741.20 and 424.62 is: 586.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.83 : 741.20 = 424.62 : x
  2. Step 2: Convert to fraction form
    536.83/741.20 = 424.62/x
  3. Step 3: Cross multiply
    536.83x = 741.20 × 424.62
  4. Step 4: Simplify right side
    536.83x = 314,728.34
  5. Step 5: Solve for x
    x = 314,728.34/536.83
  6. Step 6: Final answer
    x = 586.27

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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.