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Finding the Fourth Proportional to 659.85, 910.14 and 410.76

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Solution

The fourth proportional to 659.85, 910.14 and 410.76 is: 566.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.85 : 910.14 = 410.76 : x
  2. Step 2: Convert to fraction form
    659.85/910.14 = 410.76/x
  3. Step 3: Cross multiply
    659.85x = 910.14 × 410.76
  4. Step 4: Simplify right side
    659.85x = 373,849.11
  5. Step 5: Solve for x
    x = 373,849.11/659.85
  6. Step 6: Final answer
    x = 566.57

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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.