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Finding the Fourth Proportional to 582.95, 804.48 and 320.96

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Solution

The fourth proportional to 582.95, 804.48 and 320.96 is: 442.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.95 : 804.48 = 320.96 : x
  2. Step 2: Convert to fraction form
    582.95/804.48 = 320.96/x
  3. Step 3: Cross multiply
    582.95x = 804.48 × 320.96
  4. Step 4: Simplify right side
    582.95x = 258,205.90
  5. Step 5: Solve for x
    x = 258,205.90/582.95
  6. Step 6: Final answer
    x = 442.93

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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.