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Finding the Fourth Proportional to 438.04, 656.32 and 350.91

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Solution

The fourth proportional to 438.04, 656.32 and 350.91 is: 525.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.04 : 656.32 = 350.91 : x
  2. Step 2: Convert to fraction form
    438.04/656.32 = 350.91/x
  3. Step 3: Cross multiply
    438.04x = 656.32 × 350.91
  4. Step 4: Simplify right side
    438.04x = 230,309.25
  5. Step 5: Solve for x
    x = 230,309.25/438.04
  6. Step 6: Final answer
    x = 525.77

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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.