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Finding the Fourth Proportional to 659.45, 910.05 and 410.87

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Solution

The fourth proportional to 659.45, 910.05 and 410.87 is: 567.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.45 : 910.05 = 410.87 : x
  2. Step 2: Convert to fraction form
    659.45/910.05 = 410.87/x
  3. Step 3: Cross multiply
    659.45x = 910.05 × 410.87
  4. Step 4: Simplify right side
    659.45x = 373,912.24
  5. Step 5: Solve for x
    x = 373,912.24/659.45
  6. Step 6: Final answer
    x = 567.01

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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.