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Finding the Fourth Proportional to 436.40, 658.64 and 436.40

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Solution

The fourth proportional to 436.40, 658.64 and 436.40 is: 658.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.40 : 658.64 = 436.40 : x
  2. Step 2: Convert to fraction form
    436.40/658.64 = 436.40/x
  3. Step 3: Cross multiply
    436.40x = 658.64 × 436.40
  4. Step 4: Simplify right side
    436.40x = 287,430.50
  5. Step 5: Solve for x
    x = 287,430.50/436.40
  6. Step 6: Final answer
    x = 658.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.