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Finding the Fourth Proportional to 536.91, 741.11 and 315.87

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Solution

The fourth proportional to 536.91, 741.11 and 315.87 is: 436.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.91 : 741.11 = 315.87 : x
  2. Step 2: Convert to fraction form
    536.91/741.11 = 315.87/x
  3. Step 3: Cross multiply
    536.91x = 741.11 × 315.87
  4. Step 4: Simplify right side
    536.91x = 234,092.84
  5. Step 5: Solve for x
    x = 234,092.84/536.91
  6. Step 6: Final answer
    x = 436.00

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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.