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Finding the Fourth Proportional to 574.54, 792.95 and 463.67

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Solution

The fourth proportional to 574.54, 792.95 and 463.67 is: 639.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.54 : 792.95 = 463.67 : x
  2. Step 2: Convert to fraction form
    574.54/792.95 = 463.67/x
  3. Step 3: Cross multiply
    574.54x = 792.95 × 463.67
  4. Step 4: Simplify right side
    574.54x = 367,667.13
  5. Step 5: Solve for x
    x = 367,667.13/574.54
  6. Step 6: Final answer
    x = 639.93

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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.