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Finding the Fourth Proportional to 693.23, 956.68 and 378.51

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Solution

The fourth proportional to 693.23, 956.68 and 378.51 is: 522.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.23 : 956.68 = 378.51 : x
  2. Step 2: Convert to fraction form
    693.23/956.68 = 378.51/x
  3. Step 3: Cross multiply
    693.23x = 956.68 × 378.51
  4. Step 4: Simplify right side
    693.23x = 362,108.41
  5. Step 5: Solve for x
    x = 362,108.41/693.23
  6. Step 6: Final answer
    x = 522.35

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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.