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Finding the Fourth Proportional to 602.13, 830.97 and 340.23

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Solution

The fourth proportional to 602.13, 830.97 and 340.23 is: 469.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.13 : 830.97 = 340.23 : x
  2. Step 2: Convert to fraction form
    602.13/830.97 = 340.23/x
  3. Step 3: Cross multiply
    602.13x = 830.97 × 340.23
  4. Step 4: Simplify right side
    602.13x = 282,720.92
  5. Step 5: Solve for x
    x = 282,720.92/602.13
  6. Step 6: Final answer
    x = 469.53

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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.