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Finding the Fourth Proportional to 582.66, 804.06 and 320.67

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Solution

The fourth proportional to 582.66, 804.06 and 320.67 is: 442.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.66 : 804.06 = 320.67 : x
  2. Step 2: Convert to fraction form
    582.66/804.06 = 320.67/x
  3. Step 3: Cross multiply
    582.66x = 804.06 × 320.67
  4. Step 4: Simplify right side
    582.66x = 257,837.92
  5. Step 5: Solve for x
    x = 257,837.92/582.66
  6. Step 6: Final answer
    x = 442.52

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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.