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Finding the Fourth Proportional to 456.17, 628.22 and 415.16

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Solution

The fourth proportional to 456.17, 628.22 and 415.16 is: 571.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.17 : 628.22 = 415.16 : x
  2. Step 2: Convert to fraction form
    456.17/628.22 = 415.16/x
  3. Step 3: Cross multiply
    456.17x = 628.22 × 415.16
  4. Step 4: Simplify right side
    456.17x = 260,806.60
  5. Step 5: Solve for x
    x = 260,806.60/456.17
  6. Step 6: Final answer
    x = 571.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.