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Finding the Fourth Proportional to 593.08, 889.82 and 284.77

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Solution

The fourth proportional to 593.08, 889.82 and 284.77 is: 427.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.08 : 889.82 = 284.77 : x
  2. Step 2: Convert to fraction form
    593.08/889.82 = 284.77/x
  3. Step 3: Cross multiply
    593.08x = 889.82 × 284.77
  4. Step 4: Simplify right side
    593.08x = 253,394.04
  5. Step 5: Solve for x
    x = 253,394.04/593.08
  6. Step 6: Final answer
    x = 427.25

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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.