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Finding the Fourth Proportional to 514.07, 708.48 and 405.93

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Solution

The fourth proportional to 514.07, 708.48 and 405.93 is: 559.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.07 : 708.48 = 405.93 : x
  2. Step 2: Convert to fraction form
    514.07/708.48 = 405.93/x
  3. Step 3: Cross multiply
    514.07x = 708.48 × 405.93
  4. Step 4: Simplify right side
    514.07x = 287,593.29
  5. Step 5: Solve for x
    x = 287,593.29/514.07
  6. Step 6: Final answer
    x = 559.45

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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.