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Finding the Fourth Proportional to 602.94, 903.67 and 343.16

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Solution

The fourth proportional to 602.94, 903.67 and 343.16 is: 514.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.94 : 903.67 = 343.16 : x
  2. Step 2: Convert to fraction form
    602.94/903.67 = 343.16/x
  3. Step 3: Cross multiply
    602.94x = 903.67 × 343.16
  4. Step 4: Simplify right side
    602.94x = 310,103.40
  5. Step 5: Solve for x
    x = 310,103.40/602.94
  6. Step 6: Final answer
    x = 514.32

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Why These Related Problems?

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