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Finding the Fourth Proportional to 584.06, 804.48 and 467.42

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Solution

The fourth proportional to 584.06, 804.48 and 467.42 is: 643.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.06 : 804.48 = 467.42 : x
  2. Step 2: Convert to fraction form
    584.06/804.48 = 467.42/x
  3. Step 3: Cross multiply
    584.06x = 804.48 × 467.42
  4. Step 4: Simplify right side
    584.06x = 376,030.04
  5. Step 5: Solve for x
    x = 376,030.04/584.06
  6. Step 6: Final answer
    x = 643.82

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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.