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Finding the Fourth Proportional to 584.92, 807.23 and 322.95

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Solution

The fourth proportional to 584.92, 807.23 and 322.95 is: 445.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.92 : 807.23 = 322.95 : x
  2. Step 2: Convert to fraction form
    584.92/807.23 = 322.95/x
  3. Step 3: Cross multiply
    584.92x = 807.23 × 322.95
  4. Step 4: Simplify right side
    584.92x = 260,698.76
  5. Step 5: Solve for x
    x = 260,698.76/584.92
  6. Step 6: Final answer
    x = 445.70

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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.