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Finding the Fourth Proportional to 590.37, 880.95 and 586.97

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Solution

The fourth proportional to 590.37, 880.95 and 586.97 is: 875.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.37 : 880.95 = 586.97 : x
  2. Step 2: Convert to fraction form
    590.37/880.95 = 586.97/x
  3. Step 3: Cross multiply
    590.37x = 880.95 × 586.97
  4. Step 4: Simplify right side
    590.37x = 517,091.22
  5. Step 5: Solve for x
    x = 517,091.22/590.37
  6. Step 6: Final answer
    x = 875.88

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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.