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Finding the Fourth Proportional to 436.23, 601.87 and 278.75

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Solution

The fourth proportional to 436.23, 601.87 and 278.75 is: 384.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.23 : 601.87 = 278.75 : x
  2. Step 2: Convert to fraction form
    436.23/601.87 = 278.75/x
  3. Step 3: Cross multiply
    436.23x = 601.87 × 278.75
  4. Step 4: Simplify right side
    436.23x = 167,774.22
  5. Step 5: Solve for x
    x = 167,774.22/436.23
  6. Step 6: Final answer
    x = 384.60

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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.