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Finding the Fourth Proportional to 602.71, 902.89 and 341.91

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Solution

The fourth proportional to 602.71, 902.89 and 341.91 is: 512.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.71 : 902.89 = 341.91 : x
  2. Step 2: Convert to fraction form
    602.71/902.89 = 341.91/x
  3. Step 3: Cross multiply
    602.71x = 902.89 × 341.91
  4. Step 4: Simplify right side
    602.71x = 308,707.12
  5. Step 5: Solve for x
    x = 308,707.12/602.71
  6. Step 6: Final answer
    x = 512.20

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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.