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Finding the Fourth Proportional to 438.01, 656.89 and 145.45

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Solution

The fourth proportional to 438.01, 656.89 and 145.45 is: 218.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.01 : 656.89 = 145.45 : x
  2. Step 2: Convert to fraction form
    438.01/656.89 = 145.45/x
  3. Step 3: Cross multiply
    438.01x = 656.89 × 145.45
  4. Step 4: Simplify right side
    438.01x = 95,543.92
  5. Step 5: Solve for x
    x = 95,543.92/438.01
  6. Step 6: Final answer
    x = 218.13

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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.