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Finding the Fourth Proportional to 691.93, 954.75 and 430.30

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Solution

The fourth proportional to 691.93, 954.75 and 430.30 is: 593.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.93 : 954.75 = 430.30 : x
  2. Step 2: Convert to fraction form
    691.93/954.75 = 430.30/x
  3. Step 3: Cross multiply
    691.93x = 954.75 × 430.30
  4. Step 4: Simplify right side
    691.93x = 410,828.93
  5. Step 5: Solve for x
    x = 410,828.93/691.93
  6. Step 6: Final answer
    x = 593.74

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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.