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Finding the Fourth Proportional to 602, 830.30 and 405.16

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Solution

The fourth proportional to 602, 830.30 and 405.16 is: 558.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    602 : 830.30 = 405.16 : x
  2. Step 2: Convert to fraction form
    602/830.30 = 405.16/x
  3. Step 3: Cross multiply
    602x = 830.30 × 405.16
  4. Step 4: Simplify right side
    602x = 336,404.35
  5. Step 5: Solve for x
    x = 336,404.35/602
  6. Step 6: Final answer
    x = 558.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.