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Finding the Fourth Proportional to 438.68, 657.07 and 284.10

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Solution

The fourth proportional to 438.68, 657.07 and 284.10 is: 425.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.68 : 657.07 = 284.10 : x
  2. Step 2: Convert to fraction form
    438.68/657.07 = 284.10/x
  3. Step 3: Cross multiply
    438.68x = 657.07 × 284.10
  4. Step 4: Simplify right side
    438.68x = 186,675.34
  5. Step 5: Solve for x
    x = 186,675.34/438.68
  6. Step 6: Final answer
    x = 425.54

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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.