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Finding the Fourth Proportional to 438.40, 653.90 and 408.16

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Solution

The fourth proportional to 438.40, 653.90 and 408.16 is: 608.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.40 : 653.90 = 408.16 : x
  2. Step 2: Convert to fraction form
    438.40/653.90 = 408.16/x
  3. Step 3: Cross multiply
    438.40x = 653.90 × 408.16
  4. Step 4: Simplify right side
    438.40x = 266,895.82
  5. Step 5: Solve for x
    x = 266,895.82/438.40
  6. Step 6: Final answer
    x = 608.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.