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Finding the Fourth Proportional to 514.99, 710.74 and 282.15

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Solution

The fourth proportional to 514.99, 710.74 and 282.15 is: 389.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.99 : 710.74 = 282.15 : x
  2. Step 2: Convert to fraction form
    514.99/710.74 = 282.15/x
  3. Step 3: Cross multiply
    514.99x = 710.74 × 282.15
  4. Step 4: Simplify right side
    514.99x = 200,535.29
  5. Step 5: Solve for x
    x = 200,535.29/514.99
  6. Step 6: Final answer
    x = 389.40

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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.