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Finding the Fourth Proportional to 607.64, 838.32 and 345.62

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Solution

The fourth proportional to 607.64, 838.32 and 345.62 is: 476.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    607.64 : 838.32 = 345.62 : x
  2. Step 2: Convert to fraction form
    607.64/838.32 = 345.62/x
  3. Step 3: Cross multiply
    607.64x = 838.32 × 345.62
  4. Step 4: Simplify right side
    607.64x = 289,740.16
  5. Step 5: Solve for x
    x = 289,740.16/607.64
  6. Step 6: Final answer
    x = 476.83

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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.