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Finding the Fourth Proportional to 424.04, 584.70 and 340.88

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Solution

The fourth proportional to 424.04, 584.70 and 340.88 is: 470.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.04 : 584.70 = 340.88 : x
  2. Step 2: Convert to fraction form
    424.04/584.70 = 340.88/x
  3. Step 3: Cross multiply
    424.04x = 584.70 × 340.88
  4. Step 4: Simplify right side
    424.04x = 199,312.54
  5. Step 5: Solve for x
    x = 199,312.54/424.04
  6. Step 6: Final answer
    x = 470.03

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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.