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Finding the Fourth Proportional to 542.42, 812.71 and 299.11

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Solution

The fourth proportional to 542.42, 812.71 and 299.11 is: 448.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.42 : 812.71 = 299.11 : x
  2. Step 2: Convert to fraction form
    542.42/812.71 = 299.11/x
  3. Step 3: Cross multiply
    542.42x = 812.71 × 299.11
  4. Step 4: Simplify right side
    542.42x = 243,089.69
  5. Step 5: Solve for x
    x = 243,089.69/542.42
  6. Step 6: Final answer
    x = 448.16

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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.