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Finding the Fourth Proportional to 590.50, 883.77 and 577.09

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Solution

The fourth proportional to 590.50, 883.77 and 577.09 is: 863.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.50 : 883.77 = 577.09 : x
  2. Step 2: Convert to fraction form
    590.50/883.77 = 577.09/x
  3. Step 3: Cross multiply
    590.50x = 883.77 × 577.09
  4. Step 4: Simplify right side
    590.50x = 510,014.83
  5. Step 5: Solve for x
    x = 510,014.83/590.50
  6. Step 6: Final answer
    x = 863.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.