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Finding the Fourth Proportional to 659.81, 910.59 and 380.08

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Solution

The fourth proportional to 659.81, 910.59 and 380.08 is: 524.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.81 : 910.59 = 380.08 : x
  2. Step 2: Convert to fraction form
    659.81/910.59 = 380.08/x
  3. Step 3: Cross multiply
    659.81x = 910.59 × 380.08
  4. Step 4: Simplify right side
    659.81x = 346,095.15
  5. Step 5: Solve for x
    x = 346,095.15/659.81
  6. Step 6: Final answer
    x = 524.54

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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.