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Finding the Fourth Proportional to 590.32, 884.64 and 522.28

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Solution

The fourth proportional to 590.32, 884.64 and 522.28 is: 782.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.32 : 884.64 = 522.28 : x
  2. Step 2: Convert to fraction form
    590.32/884.64 = 522.28/x
  3. Step 3: Cross multiply
    590.32x = 884.64 × 522.28
  4. Step 4: Simplify right side
    590.32x = 462,029.78
  5. Step 5: Solve for x
    x = 462,029.78/590.32
  6. Step 6: Final answer
    x = 782.68

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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.