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Finding the Fourth Proportional to 658.18, 909.07 and 436.75

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Solution

The fourth proportional to 658.18, 909.07 and 436.75 is: 603.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.18 : 909.07 = 436.75 : x
  2. Step 2: Convert to fraction form
    658.18/909.07 = 436.75/x
  3. Step 3: Cross multiply
    658.18x = 909.07 × 436.75
  4. Step 4: Simplify right side
    658.18x = 397,036.32
  5. Step 5: Solve for x
    x = 397,036.32/658.18
  6. Step 6: Final answer
    x = 603.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.