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Finding the Fourth Proportional to 500.53, 690.69 and 279.47

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Solution

The fourth proportional to 500.53, 690.69 and 279.47 is: 385.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.53 : 690.69 = 279.47 : x
  2. Step 2: Convert to fraction form
    500.53/690.69 = 279.47/x
  3. Step 3: Cross multiply
    500.53x = 690.69 × 279.47
  4. Step 4: Simplify right side
    500.53x = 193,026.11
  5. Step 5: Solve for x
    x = 193,026.11/500.53
  6. Step 6: Final answer
    x = 385.64

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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.