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Finding the Fourth Proportional to 659.99, 990.48 and 463.71

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Solution

The fourth proportional to 659.99, 990.48 and 463.71 is: 695.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.99 : 990.48 = 463.71 : x
  2. Step 2: Convert to fraction form
    659.99/990.48 = 463.71/x
  3. Step 3: Cross multiply
    659.99x = 990.48 × 463.71
  4. Step 4: Simplify right side
    659.99x = 459,295.48
  5. Step 5: Solve for x
    x = 459,295.48/659.99
  6. Step 6: Final answer
    x = 695.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.