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Finding the Fourth Proportional to 424.23, 628.86 and 417.69

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Solution

The fourth proportional to 424.23, 628.86 and 417.69 is: 619.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.23 : 628.86 = 417.69 : x
  2. Step 2: Convert to fraction form
    424.23/628.86 = 417.69/x
  3. Step 3: Cross multiply
    424.23x = 628.86 × 417.69
  4. Step 4: Simplify right side
    424.23x = 262,668.53
  5. Step 5: Solve for x
    x = 262,668.53/424.23
  6. Step 6: Final answer
    x = 619.17

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.