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Finding the Fourth Proportional to 602.11, 830.82 and 340.13

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Solution

The fourth proportional to 602.11, 830.82 and 340.13 is: 469.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.11 : 830.82 = 340.13 : x
  2. Step 2: Convert to fraction form
    602.11/830.82 = 340.13/x
  3. Step 3: Cross multiply
    602.11x = 830.82 × 340.13
  4. Step 4: Simplify right side
    602.11x = 282,586.81
  5. Step 5: Solve for x
    x = 282,586.81/602.11
  6. Step 6: Final answer
    x = 469.33

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Why These Related Problems?

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