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Finding the Fourth Proportional to 514.01, 709.35 and 314.98

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Solution

The fourth proportional to 514.01, 709.35 and 314.98 is: 434.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.01 : 709.35 = 314.98 : x
  2. Step 2: Convert to fraction form
    514.01/709.35 = 314.98/x
  3. Step 3: Cross multiply
    514.01x = 709.35 × 314.98
  4. Step 4: Simplify right side
    514.01x = 223,431.06
  5. Step 5: Solve for x
    x = 223,431.06/514.01
  6. Step 6: Final answer
    x = 434.68

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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.