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Finding the Fourth Proportional to 592.59, 888.65 and 202.53

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Solution

The fourth proportional to 592.59, 888.65 and 202.53 is: 303.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.59 : 888.65 = 202.53 : x
  2. Step 2: Convert to fraction form
    592.59/888.65 = 202.53/x
  3. Step 3: Cross multiply
    592.59x = 888.65 × 202.53
  4. Step 4: Simplify right side
    592.59x = 179,977.27
  5. Step 5: Solve for x
    x = 179,977.27/592.59
  6. Step 6: Final answer
    x = 303.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.