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Finding the Fourth Proportional to 584.72, 807.01 and 363.64

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Solution

The fourth proportional to 584.72, 807.01 and 363.64 is: 501.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.72 : 807.01 = 363.64 : x
  2. Step 2: Convert to fraction form
    584.72/807.01 = 363.64/x
  3. Step 3: Cross multiply
    584.72x = 807.01 × 363.64
  4. Step 4: Simplify right side
    584.72x = 293,461.75
  5. Step 5: Solve for x
    x = 293,461.75/584.72
  6. Step 6: Final answer
    x = 501.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.