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Finding the Fourth Proportional to 602.04, 830.04 and 593.88

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Solution

The fourth proportional to 602.04, 830.04 and 593.88 is: 818.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.04 : 830.04 = 593.88 : x
  2. Step 2: Convert to fraction form
    602.04/830.04 = 593.88/x
  3. Step 3: Cross multiply
    602.04x = 830.04 × 593.88
  4. Step 4: Simplify right side
    602.04x = 492,944.16
  5. Step 5: Solve for x
    x = 492,944.16/602.04
  6. Step 6: Final answer
    x = 818.79

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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.