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Finding the Fourth Proportional to 658.16, 988.64 and 414.86

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Solution

The fourth proportional to 658.16, 988.64 and 414.86 is: 623.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.16 : 988.64 = 414.86 : x
  2. Step 2: Convert to fraction form
    658.16/988.64 = 414.86/x
  3. Step 3: Cross multiply
    658.16x = 988.64 × 414.86
  4. Step 4: Simplify right side
    658.16x = 410,147.19
  5. Step 5: Solve for x
    x = 410,147.19/658.16
  6. Step 6: Final answer
    x = 623.17

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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.