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Finding the Fourth Proportional to 514.13, 709.81 and 403.34

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Solution

The fourth proportional to 514.13, 709.81 and 403.34 is: 556.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.13 : 709.81 = 403.34 : x
  2. Step 2: Convert to fraction form
    514.13/709.81 = 403.34/x
  3. Step 3: Cross multiply
    514.13x = 709.81 × 403.34
  4. Step 4: Simplify right side
    514.13x = 286,294.77
  5. Step 5: Solve for x
    x = 286,294.77/514.13
  6. Step 6: Final answer
    x = 556.85

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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.