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Finding the Fourth Proportional to 538.13, 742.65 and 406.91

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Solution

The fourth proportional to 538.13, 742.65 and 406.91 is: 561.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.13 : 742.65 = 406.91 : x
  2. Step 2: Convert to fraction form
    538.13/742.65 = 406.91/x
  3. Step 3: Cross multiply
    538.13x = 742.65 × 406.91
  4. Step 4: Simplify right side
    538.13x = 302,191.71
  5. Step 5: Solve for x
    x = 302,191.71/538.13
  6. Step 6: Final answer
    x = 561.56

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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.