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Finding the Fourth Proportional to 514.99, 711.57 and 405.33

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Solution

The fourth proportional to 514.99, 711.57 and 405.33 is: 560.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.99 : 711.57 = 405.33 : x
  2. Step 2: Convert to fraction form
    514.99/711.57 = 405.33/x
  3. Step 3: Cross multiply
    514.99x = 711.57 × 405.33
  4. Step 4: Simplify right side
    514.99x = 288,420.67
  5. Step 5: Solve for x
    x = 288,420.67/514.99
  6. Step 6: Final answer
    x = 560.05

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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.