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Finding the Fourth Proportional to 691.96, 954.66 and 429.88

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Solution

The fourth proportional to 691.96, 954.66 and 429.88 is: 593.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.96 : 954.66 = 429.88 : x
  2. Step 2: Convert to fraction form
    691.96/954.66 = 429.88/x
  3. Step 3: Cross multiply
    691.96x = 954.66 × 429.88
  4. Step 4: Simplify right side
    691.96x = 410,389.24
  5. Step 5: Solve for x
    x = 410,389.24/691.96
  6. Step 6: Final answer
    x = 593.08

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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.