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Finding the Fourth Proportional to 592.86, 888.89 and 284.88

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Solution

The fourth proportional to 592.86, 888.89 and 284.88 is: 427.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.86 : 888.89 = 284.88 : x
  2. Step 2: Convert to fraction form
    592.86/888.89 = 284.88/x
  3. Step 3: Cross multiply
    592.86x = 888.89 × 284.88
  4. Step 4: Simplify right side
    592.86x = 253,225.56
  5. Step 5: Solve for x
    x = 253,225.56/592.86
  6. Step 6: Final answer
    x = 427.13

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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.