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Finding the Fourth Proportional to 514.81, 710.43 and 281.93

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Solution

The fourth proportional to 514.81, 710.43 and 281.93 is: 389.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.81 : 710.43 = 281.93 : x
  2. Step 2: Convert to fraction form
    514.81/710.43 = 281.93/x
  3. Step 3: Cross multiply
    514.81x = 710.43 × 281.93
  4. Step 4: Simplify right side
    514.81x = 200,294.36
  5. Step 5: Solve for x
    x = 200,294.36/514.81
  6. Step 6: Final answer
    x = 389.07

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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.