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Finding the Fourth Proportional to 659.17, 988.53 and 476.02

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Solution

The fourth proportional to 659.17, 988.53 and 476.02 is: 713.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.17 : 988.53 = 476.02 : x
  2. Step 2: Convert to fraction form
    659.17/988.53 = 476.02/x
  3. Step 3: Cross multiply
    659.17x = 988.53 × 476.02
  4. Step 4: Simplify right side
    659.17x = 470,560.05
  5. Step 5: Solve for x
    x = 470,560.05/659.17
  6. Step 6: Final answer
    x = 713.87

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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.