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Finding the Fourth Proportional to 514.12, 709.68 and 398.02

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Solution

The fourth proportional to 514.12, 709.68 and 398.02 is: 549.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.12 : 709.68 = 398.02 : x
  2. Step 2: Convert to fraction form
    514.12/709.68 = 398.02/x
  3. Step 3: Cross multiply
    514.12x = 709.68 × 398.02
  4. Step 4: Simplify right side
    514.12x = 282,466.83
  5. Step 5: Solve for x
    x = 282,466.83/514.12
  6. Step 6: Final answer
    x = 549.42

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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.