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Finding the Fourth Proportional to 590.24, 880.26 and 504.12

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Solution

The fourth proportional to 590.24, 880.26 and 504.12 is: 751.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.24 : 880.26 = 504.12 : x
  2. Step 2: Convert to fraction form
    590.24/880.26 = 504.12/x
  3. Step 3: Cross multiply
    590.24x = 880.26 × 504.12
  4. Step 4: Simplify right side
    590.24x = 443,756.67
  5. Step 5: Solve for x
    x = 443,756.67/590.24
  6. Step 6: Final answer
    x = 751.82

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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.