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Finding the Fourth Proportional to 602.37, 830.70 and 392.31

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Solution

The fourth proportional to 602.37, 830.70 and 392.31 is: 541.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.37 : 830.70 = 392.31 : x
  2. Step 2: Convert to fraction form
    602.37/830.70 = 392.31/x
  3. Step 3: Cross multiply
    602.37x = 830.70 × 392.31
  4. Step 4: Simplify right side
    602.37x = 325,891.92
  5. Step 5: Solve for x
    x = 325,891.92/602.37
  6. Step 6: Final answer
    x = 541.02

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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.