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Finding the Fourth Proportional to 500.55, 690.75 and 279.51

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Solution

The fourth proportional to 500.55, 690.75 and 279.51 is: 385.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    500.55 : 690.75 = 279.51 : x
  2. Step 2: Convert to fraction form
    500.55/690.75 = 279.51/x
  3. Step 3: Cross multiply
    500.55x = 690.75 × 279.51
  4. Step 4: Simplify right side
    500.55x = 193,071.53
  5. Step 5: Solve for x
    x = 193,071.53/500.55
  6. Step 6: Final answer
    x = 385.72

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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.