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Finding the Fourth Proportional to 693.06, 955.82 and 430.88

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Solution

The fourth proportional to 693.06, 955.82 and 430.88 is: 594.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.06 : 955.82 = 430.88 : x
  2. Step 2: Convert to fraction form
    693.06/955.82 = 430.88/x
  3. Step 3: Cross multiply
    693.06x = 955.82 × 430.88
  4. Step 4: Simplify right side
    693.06x = 411,843.72
  5. Step 5: Solve for x
    x = 411,843.72/693.06
  6. Step 6: Final answer
    x = 594.24

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