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Finding the Fourth Proportional to 659.45, 910.00 and 360.63

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Solution

The fourth proportional to 659.45, 910.00 and 360.63 is: 497.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.45 : 910.00 = 360.63 : x
  2. Step 2: Convert to fraction form
    659.45/910.00 = 360.63/x
  3. Step 3: Cross multiply
    659.45x = 910.00 × 360.63
  4. Step 4: Simplify right side
    659.45x = 328,174.40
  5. Step 5: Solve for x
    x = 328,174.40/659.45
  6. Step 6: Final answer
    x = 497.65

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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.