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Finding the Fourth Proportional to 456.10, 629.13 and 259.57

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Solution

The fourth proportional to 456.10, 629.13 and 259.57 is: 358.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.10 : 629.13 = 259.57 : x
  2. Step 2: Convert to fraction form
    456.10/629.13 = 259.57/x
  3. Step 3: Cross multiply
    456.10x = 629.13 × 259.57
  4. Step 4: Simplify right side
    456.10x = 163,303.27
  5. Step 5: Solve for x
    x = 163,303.27/456.10
  6. Step 6: Final answer
    x = 358.04

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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.