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Finding the Fourth Proportional to 430.90, 647.70 and 406.60

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Solution

The fourth proportional to 430.90, 647.70 and 406.60 is: 611.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.90 : 647.70 = 406.60 : x
  2. Step 2: Convert to fraction form
    430.90/647.70 = 406.60/x
  3. Step 3: Cross multiply
    430.90x = 647.70 × 406.60
  4. Step 4: Simplify right side
    430.90x = 263,354.82
  5. Step 5: Solve for x
    x = 263,354.82/430.90
  6. Step 6: Final answer
    x = 611.17

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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.