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Finding the Fourth Proportional to 514.98, 710.66 and 282.10

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Solution

The fourth proportional to 514.98, 710.66 and 282.10 is: 389.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.98 : 710.66 = 282.10 : x
  2. Step 2: Convert to fraction form
    514.98/710.66 = 282.10/x
  3. Step 3: Cross multiply
    514.98x = 710.66 × 282.10
  4. Step 4: Simplify right side
    514.98x = 200,477.19
  5. Step 5: Solve for x
    x = 200,477.19/514.98
  6. Step 6: Final answer
    x = 389.29

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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.