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Finding the Fourth Proportional to 538.64, 743.54 and 342.01

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Solution

The fourth proportional to 538.64, 743.54 and 342.01 is: 472.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.64 : 743.54 = 342.01 : x
  2. Step 2: Convert to fraction form
    538.64/743.54 = 342.01/x
  3. Step 3: Cross multiply
    538.64x = 743.54 × 342.01
  4. Step 4: Simplify right side
    538.64x = 254,298.12
  5. Step 5: Solve for x
    x = 254,298.12/538.64
  6. Step 6: Final answer
    x = 472.11

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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.