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Finding the Fourth Proportional to 596.08, 887.36 and 592.84

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Solution

The fourth proportional to 596.08, 887.36 and 592.84 is: 882.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.08 : 887.36 = 592.84 : x
  2. Step 2: Convert to fraction form
    596.08/887.36 = 592.84/x
  3. Step 3: Cross multiply
    596.08x = 887.36 × 592.84
  4. Step 4: Simplify right side
    596.08x = 526,062.50
  5. Step 5: Solve for x
    x = 526,062.50/596.08
  6. Step 6: Final answer
    x = 882.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.