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Finding the Fourth Proportional to 417.32, 626.70 and 383.56

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Solution

The fourth proportional to 417.32, 626.70 and 383.56 is: 576.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.32 : 626.70 = 383.56 : x
  2. Step 2: Convert to fraction form
    417.32/626.70 = 383.56/x
  3. Step 3: Cross multiply
    417.32x = 626.70 × 383.56
  4. Step 4: Simplify right side
    417.32x = 240,377.05
  5. Step 5: Solve for x
    x = 240,377.05/417.32
  6. Step 6: Final answer
    x = 576.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.