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Finding the Fourth Proportional to 690.93, 953.07 and 428.76

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Solution

The fourth proportional to 690.93, 953.07 and 428.76 is: 591.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.93 : 953.07 = 428.76 : x
  2. Step 2: Convert to fraction form
    690.93/953.07 = 428.76/x
  3. Step 3: Cross multiply
    690.93x = 953.07 × 428.76
  4. Step 4: Simplify right side
    690.93x = 408,638.29
  5. Step 5: Solve for x
    x = 408,638.29/690.93
  6. Step 6: Final answer
    x = 591.43

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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.