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Finding the Fourth Proportional to 436.53, 602.36 and 257.03

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Solution

The fourth proportional to 436.53, 602.36 and 257.03 is: 354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.53 : 602.36 = 257.03 : x
  2. Step 2: Convert to fraction form
    436.53/602.36 = 257.03/x
  3. Step 3: Cross multiply
    436.53x = 602.36 × 257.03
  4. Step 4: Simplify right side
    436.53x = 154,825.48
  5. Step 5: Solve for x
    x = 154,825.48/436.53
  6. Step 6: Final answer
    x = 354.67

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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.