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Finding the Fourth Proportional to 590.63, 879.51 and 584.16

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Solution

The fourth proportional to 590.63, 879.51 and 584.16 is: 869.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.63 : 879.51 = 584.16 : x
  2. Step 2: Convert to fraction form
    590.63/879.51 = 584.16/x
  3. Step 3: Cross multiply
    590.63x = 879.51 × 584.16
  4. Step 4: Simplify right side
    590.63x = 513,774.56
  5. Step 5: Solve for x
    x = 513,774.56/590.63
  6. Step 6: Final answer
    x = 869.88

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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.