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Finding the Fourth Proportional to 590.19, 884.64 and 452.88

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Solution

The fourth proportional to 590.19, 884.64 and 452.88 is: 678.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.19 : 884.64 = 452.88 : x
  2. Step 2: Convert to fraction form
    590.19/884.64 = 452.88/x
  3. Step 3: Cross multiply
    590.19x = 884.64 × 452.88
  4. Step 4: Simplify right side
    590.19x = 400,635.76
  5. Step 5: Solve for x
    x = 400,635.76/590.19
  6. Step 6: Final answer
    x = 678.83

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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.