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Finding the Fourth Proportional to 436.80, 602.64 and 297

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Solution

The fourth proportional to 436.80, 602.64 and 297 is: 409.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.80 : 602.64 = 297 : x
  2. Step 2: Convert to fraction form
    436.80/602.64 = 297/x
  3. Step 3: Cross multiply
    436.80x = 602.64 × 297
  4. Step 4: Simplify right side
    436.80x = 178,984.08
  5. Step 5: Solve for x
    x = 178,984.08/436.80
  6. Step 6: Final answer
    x = 409.76

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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.