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Finding the Fourth Proportional to 602.06, 830.39 and 405.23

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Solution

The fourth proportional to 602.06, 830.39 and 405.23 is: 558.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.06 : 830.39 = 405.23 : x
  2. Step 2: Convert to fraction form
    602.06/830.39 = 405.23/x
  3. Step 3: Cross multiply
    602.06x = 830.39 × 405.23
  4. Step 4: Simplify right side
    602.06x = 336,492.76
  5. Step 5: Solve for x
    x = 336,492.76/602.06
  6. Step 6: Final answer
    x = 558.91

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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.