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Finding the Fourth Proportional to 436.76, 603.22 and 296.63

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Solution

The fourth proportional to 436.76, 603.22 and 296.63 is: 409.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.76 : 603.22 = 296.63 : x
  2. Step 2: Convert to fraction form
    436.76/603.22 = 296.63/x
  3. Step 3: Cross multiply
    436.76x = 603.22 × 296.63
  4. Step 4: Simplify right side
    436.76x = 178,931.67
  5. Step 5: Solve for x
    x = 178,931.67/436.76
  6. Step 6: Final answer
    x = 409.68

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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.