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Finding the Fourth Proportional to 456.86, 629.77 and 358.45

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Solution

The fourth proportional to 456.86, 629.77 and 358.45 is: 494.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.86 : 629.77 = 358.45 : x
  2. Step 2: Convert to fraction form
    456.86/629.77 = 358.45/x
  3. Step 3: Cross multiply
    456.86x = 629.77 × 358.45
  4. Step 4: Simplify right side
    456.86x = 225,737.91
  5. Step 5: Solve for x
    x = 225,737.91/456.86
  6. Step 6: Final answer
    x = 494.11

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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.