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Finding the Fourth Proportional to 514.16, 709.05 and 346.49

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Solution

The fourth proportional to 514.16, 709.05 and 346.49 is: 477.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.16 : 709.05 = 346.49 : x
  2. Step 2: Convert to fraction form
    514.16/709.05 = 346.49/x
  3. Step 3: Cross multiply
    514.16x = 709.05 × 346.49
  4. Step 4: Simplify right side
    514.16x = 245,675.19
  5. Step 5: Solve for x
    x = 245,675.19/514.16
  6. Step 6: Final answer
    x = 477.82

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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.