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Finding the Fourth Proportional to 595.78, 892.43 and 588.49

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Solution

The fourth proportional to 595.78, 892.43 and 588.49 is: 881.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.78 : 892.43 = 588.49 : x
  2. Step 2: Convert to fraction form
    595.78/892.43 = 588.49/x
  3. Step 3: Cross multiply
    595.78x = 892.43 × 588.49
  4. Step 4: Simplify right side
    595.78x = 525,186.13
  5. Step 5: Solve for x
    x = 525,186.13/595.78
  6. Step 6: Final answer
    x = 881.51

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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.