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Finding the Fourth Proportional to 505.42, 761.38 and 499.04

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Solution

The fourth proportional to 505.42, 761.38 and 499.04 is: 751.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.42 : 761.38 = 499.04 : x
  2. Step 2: Convert to fraction form
    505.42/761.38 = 499.04/x
  3. Step 3: Cross multiply
    505.42x = 761.38 × 499.04
  4. Step 4: Simplify right side
    505.42x = 379,959.08
  5. Step 5: Solve for x
    x = 379,959.08/505.42
  6. Step 6: Final answer
    x = 751.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.