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Finding the Fourth Proportional to 407.42, 608.17 and 377.34

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Solution

The fourth proportional to 407.42, 608.17 and 377.34 is: 563.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.42 : 608.17 = 377.34 : x
  2. Step 2: Convert to fraction form
    407.42/608.17 = 377.34/x
  3. Step 3: Cross multiply
    407.42x = 608.17 × 377.34
  4. Step 4: Simplify right side
    407.42x = 229,484.98
  5. Step 5: Solve for x
    x = 229,484.98/407.42
  6. Step 6: Final answer
    x = 563.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.