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Finding the Fourth Proportional to 542.34, 749.16 and 412.02

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Solution

The fourth proportional to 542.34, 749.16 and 412.02 is: 569.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.34 : 749.16 = 412.02 : x
  2. Step 2: Convert to fraction form
    542.34/749.16 = 412.02/x
  3. Step 3: Cross multiply
    542.34x = 749.16 × 412.02
  4. Step 4: Simplify right side
    542.34x = 308,668.90
  5. Step 5: Solve for x
    x = 308,668.90/542.34
  6. Step 6: Final answer
    x = 569.14

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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.