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Finding the Fourth Proportional to 659.74, 910.93 and 463.52

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Solution

The fourth proportional to 659.74, 910.93 and 463.52 is: 640.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.74 : 910.93 = 463.52 : x
  2. Step 2: Convert to fraction form
    659.74/910.93 = 463.52/x
  3. Step 3: Cross multiply
    659.74x = 910.93 × 463.52
  4. Step 4: Simplify right side
    659.74x = 422,234.27
  5. Step 5: Solve for x
    x = 422,234.27/659.74
  6. Step 6: Final answer
    x = 640.00

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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.