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Finding the Fourth Proportional to 659.84, 910.57 and 380.07

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Solution

The fourth proportional to 659.84, 910.57 and 380.07 is: 524.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.84 : 910.57 = 380.07 : x
  2. Step 2: Convert to fraction form
    659.84/910.57 = 380.07/x
  3. Step 3: Cross multiply
    659.84x = 910.57 × 380.07
  4. Step 4: Simplify right side
    659.84x = 346,083.68
  5. Step 5: Solve for x
    x = 346,083.68/659.84
  6. Step 6: Final answer
    x = 524.50

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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.