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Finding the Fourth Proportional to 584.00, 805.37 and 362.64

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Solution

The fourth proportional to 584.00, 805.37 and 362.64 is: 500.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.00 : 805.37 = 362.64 : x
  2. Step 2: Convert to fraction form
    584.00/805.37 = 362.64/x
  3. Step 3: Cross multiply
    584.00x = 805.37 × 362.64
  4. Step 4: Simplify right side
    584.00x = 292,057.56
  5. Step 5: Solve for x
    x = 292,057.56/584.00
  6. Step 6: Final answer
    x = 500.10

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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.