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Finding the Fourth Proportional to 659.16, 988.02 and 415.80

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Solution

The fourth proportional to 659.16, 988.02 and 415.80 is: 623.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.16 : 988.02 = 415.80 : x
  2. Step 2: Convert to fraction form
    659.16/988.02 = 415.80/x
  3. Step 3: Cross multiply
    659.16x = 988.02 × 415.80
  4. Step 4: Simplify right side
    659.16x = 410,818.72
  5. Step 5: Solve for x
    x = 410,818.72/659.16
  6. Step 6: Final answer
    x = 623.25

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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.