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Finding the Fourth Proportional to 602.16, 830.84 and 340.14

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Solution

The fourth proportional to 602.16, 830.84 and 340.14 is: 469.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.16 : 830.84 = 340.14 : x
  2. Step 2: Convert to fraction form
    602.16/830.84 = 340.14/x
  3. Step 3: Cross multiply
    602.16x = 830.84 × 340.14
  4. Step 4: Simplify right side
    602.16x = 282,601.92
  5. Step 5: Solve for x
    x = 282,601.92/602.16
  6. Step 6: Final answer
    x = 469.31

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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.