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Finding the Fourth Proportional to 591.85, 880.97 and 583.08

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Solution

The fourth proportional to 591.85, 880.97 and 583.08 is: 867.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.85 : 880.97 = 583.08 : x
  2. Step 2: Convert to fraction form
    591.85/880.97 = 583.08/x
  3. Step 3: Cross multiply
    591.85x = 880.97 × 583.08
  4. Step 4: Simplify right side
    591.85x = 513,673.07
  5. Step 5: Solve for x
    x = 513,673.07/591.85
  6. Step 6: Final answer
    x = 867.91

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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.