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Finding the Fourth Proportional to 584.80, 807 and 322.82

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Solution

The fourth proportional to 584.80, 807 and 322.82 is: 445.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.80 : 807 = 322.82 : x
  2. Step 2: Convert to fraction form
    584.80/807 = 322.82/x
  3. Step 3: Cross multiply
    584.80x = 807 × 322.82
  4. Step 4: Simplify right side
    584.80x = 260,515.74
  5. Step 5: Solve for x
    x = 260,515.74/584.80
  6. Step 6: Final answer
    x = 445.48

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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.