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Finding the Fourth Proportional to 604.53, 838.15 and 592.65

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Solution

The fourth proportional to 604.53, 838.15 and 592.65 is: 821.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    604.53 : 838.15 = 592.65 : x
  2. Step 2: Convert to fraction form
    604.53/838.15 = 592.65/x
  3. Step 3: Cross multiply
    604.53x = 838.15 × 592.65
  4. Step 4: Simplify right side
    604.53x = 496,728.12
  5. Step 5: Solve for x
    x = 496,728.12/604.53
  6. Step 6: Final answer
    x = 821.68

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.