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Finding the Fourth Proportional to 690.78, 953.46 and 428.65

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Solution

The fourth proportional to 690.78, 953.46 and 428.65 is: 591.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.78 : 953.46 = 428.65 : x
  2. Step 2: Convert to fraction form
    690.78/953.46 = 428.65/x
  3. Step 3: Cross multiply
    690.78x = 953.46 × 428.65
  4. Step 4: Simplify right side
    690.78x = 408,700.63
  5. Step 5: Solve for x
    x = 408,700.63/690.78
  6. Step 6: Final answer
    x = 591.65

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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.