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Finding the Fourth Proportional to 509.17, 701.93 and 361.55

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Solution

The fourth proportional to 509.17, 701.93 and 361.55 is: 498.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.17 : 701.93 = 361.55 : x
  2. Step 2: Convert to fraction form
    509.17/701.93 = 361.55/x
  3. Step 3: Cross multiply
    509.17x = 701.93 × 361.55
  4. Step 4: Simplify right side
    509.17x = 253,782.79
  5. Step 5: Solve for x
    x = 253,782.79/509.17
  6. Step 6: Final answer
    x = 498.42

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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.