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Finding the Fourth Proportional to 514.49, 709.17 and 357.35

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Solution

The fourth proportional to 514.49, 709.17 and 357.35 is: 492.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.49 : 709.17 = 357.35 : x
  2. Step 2: Convert to fraction form
    514.49/709.17 = 357.35/x
  3. Step 3: Cross multiply
    514.49x = 709.17 × 357.35
  4. Step 4: Simplify right side
    514.49x = 253,421.90
  5. Step 5: Solve for x
    x = 253,421.90/514.49
  6. Step 6: Final answer
    x = 492.57

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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.