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Finding the Fourth Proportional to 594.13, 889.71 and 320.30

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Solution

The fourth proportional to 594.13, 889.71 and 320.30 is: 479.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.13 : 889.71 = 320.30 : x
  2. Step 2: Convert to fraction form
    594.13/889.71 = 320.30/x
  3. Step 3: Cross multiply
    594.13x = 889.71 × 320.30
  4. Step 4: Simplify right side
    594.13x = 284,974.11
  5. Step 5: Solve for x
    x = 284,974.11/594.13
  6. Step 6: Final answer
    x = 479.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.