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Finding the Fourth Proportional to 438.90, 659.70 and 430.80

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Solution

The fourth proportional to 438.90, 659.70 and 430.80 is: 647.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.90 : 659.70 = 430.80 : x
  2. Step 2: Convert to fraction form
    438.90/659.70 = 430.80/x
  3. Step 3: Cross multiply
    438.90x = 659.70 × 430.80
  4. Step 4: Simplify right side
    438.90x = 284,198.76
  5. Step 5: Solve for x
    x = 284,198.76/438.90
  6. Step 6: Final answer
    x = 647.53

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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.