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Finding the Fourth Proportional to 438.75, 657.19 and 284.22

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Solution

The fourth proportional to 438.75, 657.19 and 284.22 is: 425.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.75 : 657.19 = 284.22 : x
  2. Step 2: Convert to fraction form
    438.75/657.19 = 284.22/x
  3. Step 3: Cross multiply
    438.75x = 657.19 × 284.22
  4. Step 4: Simplify right side
    438.75x = 186,784.25
  5. Step 5: Solve for x
    x = 186,784.25/438.75
  6. Step 6: Final answer
    x = 425.72

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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.