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Finding the Fourth Proportional to 438.90, 605.76 and 264.24

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Solution

The fourth proportional to 438.90, 605.76 and 264.24 is: 364.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.90 : 605.76 = 264.24 : x
  2. Step 2: Convert to fraction form
    438.90/605.76 = 264.24/x
  3. Step 3: Cross multiply
    438.90x = 605.76 × 264.24
  4. Step 4: Simplify right side
    438.90x = 160,066.02
  5. Step 5: Solve for x
    x = 160,066.02/438.90
  6. Step 6: Final answer
    x = 364.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.