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Finding the Fourth Proportional to 596.10, 889.71 and 581.52

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Solution

The fourth proportional to 596.10, 889.71 and 581.52 is: 867.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.10 : 889.71 = 581.52 : x
  2. Step 2: Convert to fraction form
    596.10/889.71 = 581.52/x
  3. Step 3: Cross multiply
    596.10x = 889.71 × 581.52
  4. Step 4: Simplify right side
    596.10x = 517,384.16
  5. Step 5: Solve for x
    x = 517,384.16/596.10
  6. Step 6: Final answer
    x = 867.95

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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.