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Finding the Fourth Proportional to 424.94, 585.69 and 320

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Solution

The fourth proportional to 424.94, 585.69 and 320 is: 441.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.94 : 585.69 = 320 : x
  2. Step 2: Convert to fraction form
    424.94/585.69 = 320/x
  3. Step 3: Cross multiply
    424.94x = 585.69 × 320
  4. Step 4: Simplify right side
    424.94x = 187,420.80
  5. Step 5: Solve for x
    x = 187,420.80/424.94
  6. Step 6: Final answer
    x = 441.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.