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Finding the Fourth Proportional to 438.63, 657.95 and 425.26

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Solution

The fourth proportional to 438.63, 657.95 and 425.26 is: 637.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.63 : 657.95 = 425.26 : x
  2. Step 2: Convert to fraction form
    438.63/657.95 = 425.26/x
  3. Step 3: Cross multiply
    438.63x = 657.95 × 425.26
  4. Step 4: Simplify right side
    438.63x = 279,798.51
  5. Step 5: Solve for x
    x = 279,798.51/438.63
  6. Step 6: Final answer
    x = 637.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.