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Finding the Fourth Proportional to 590.56, 885.84 and 504.49

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Solution

The fourth proportional to 590.56, 885.84 and 504.49 is: 756.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.56 : 885.84 = 504.49 : x
  2. Step 2: Convert to fraction form
    590.56/885.84 = 504.49/x
  3. Step 3: Cross multiply
    590.56x = 885.84 × 504.49
  4. Step 4: Simplify right side
    590.56x = 446,897.42
  5. Step 5: Solve for x
    x = 446,897.42/590.56
  6. Step 6: Final answer
    x = 756.74

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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.