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Finding the Fourth Proportional to 659.71, 988.29 and 351.14

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Solution

The fourth proportional to 659.71, 988.29 and 351.14 is: 526.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.71 : 988.29 = 351.14 : x
  2. Step 2: Convert to fraction form
    659.71/988.29 = 351.14/x
  3. Step 3: Cross multiply
    659.71x = 988.29 × 351.14
  4. Step 4: Simplify right side
    659.71x = 347,030.62
  5. Step 5: Solve for x
    x = 347,030.62/659.71
  6. Step 6: Final answer
    x = 526.04

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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.