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Finding the Fourth Proportional to 514.93, 710.61 and 282.06

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Solution

The fourth proportional to 514.93, 710.61 and 282.06 is: 389.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.93 : 710.61 = 282.06 : x
  2. Step 2: Convert to fraction form
    514.93/710.61 = 282.06/x
  3. Step 3: Cross multiply
    514.93x = 710.61 × 282.06
  4. Step 4: Simplify right side
    514.93x = 200,429.69
  5. Step 5: Solve for x
    x = 200,429.69/514.93
  6. Step 6: Final answer
    x = 389.24

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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.