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Finding the Fourth Proportional to 412.71, 569.94 and 353.35

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Solution

The fourth proportional to 412.71, 569.94 and 353.35 is: 487.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.71 : 569.94 = 353.35 : x
  2. Step 2: Convert to fraction form
    412.71/569.94 = 353.35/x
  3. Step 3: Cross multiply
    412.71x = 569.94 × 353.35
  4. Step 4: Simplify right side
    412.71x = 201,386.53
  5. Step 5: Solve for x
    x = 201,386.53/412.71
  6. Step 6: Final answer
    x = 487.97

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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.