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Finding the Fourth Proportional to 602.36, 830.04 and 392.30

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Solution

The fourth proportional to 602.36, 830.04 and 392.30 is: 540.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.36 : 830.04 = 392.30 : x
  2. Step 2: Convert to fraction form
    602.36/830.04 = 392.30/x
  3. Step 3: Cross multiply
    602.36x = 830.04 × 392.30
  4. Step 4: Simplify right side
    602.36x = 325,624.69
  5. Step 5: Solve for x
    x = 325,624.69/602.36
  6. Step 6: Final answer
    x = 540.58

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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.