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Finding the Fourth Proportional to 659.95, 910.82 and 380.18

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Solution

The fourth proportional to 659.95, 910.82 and 380.18 is: 524.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.95 : 910.82 = 380.18 : x
  2. Step 2: Convert to fraction form
    659.95/910.82 = 380.18/x
  3. Step 3: Cross multiply
    659.95x = 910.82 × 380.18
  4. Step 4: Simplify right side
    659.95x = 346,269.09
  5. Step 5: Solve for x
    x = 346,269.09/659.95
  6. Step 6: Final answer
    x = 524.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.