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Finding the Fourth Proportional to 542.16, 812.75 and 264.46

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Solution

The fourth proportional to 542.16, 812.75 and 264.46 is: 396.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.16 : 812.75 = 264.46 : x
  2. Step 2: Convert to fraction form
    542.16/812.75 = 264.46/x
  3. Step 3: Cross multiply
    542.16x = 812.75 × 264.46
  4. Step 4: Simplify right side
    542.16x = 214,939.87
  5. Step 5: Solve for x
    x = 214,939.87/542.16
  6. Step 6: Final answer
    x = 396.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.