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Finding the Fourth Proportional to 417.33, 626.19 and 296.58

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Solution

The fourth proportional to 417.33, 626.19 and 296.58 is: 445.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.33 : 626.19 = 296.58 : x
  2. Step 2: Convert to fraction form
    417.33/626.19 = 296.58/x
  3. Step 3: Cross multiply
    417.33x = 626.19 × 296.58
  4. Step 4: Simplify right side
    417.33x = 185,715.43
  5. Step 5: Solve for x
    x = 185,715.43/417.33
  6. Step 6: Final answer
    x = 445.01

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Why These Related Problems?

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