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Finding the Fourth Proportional to 409.59, 564.93 and 335.70

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Solution

The fourth proportional to 409.59, 564.93 and 335.70 is: 463.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.59 : 564.93 = 335.70 : x
  2. Step 2: Convert to fraction form
    409.59/564.93 = 335.70/x
  3. Step 3: Cross multiply
    409.59x = 564.93 × 335.70
  4. Step 4: Simplify right side
    409.59x = 189,647.00
  5. Step 5: Solve for x
    x = 189,647.00/409.59
  6. Step 6: Final answer
    x = 463.02

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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.