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Finding the Fourth Proportional to 456.85, 630.36 and 433.78

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Solution

The fourth proportional to 456.85, 630.36 and 433.78 is: 598.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.85 : 630.36 = 433.78 : x
  2. Step 2: Convert to fraction form
    456.85/630.36 = 433.78/x
  3. Step 3: Cross multiply
    456.85x = 630.36 × 433.78
  4. Step 4: Simplify right side
    456.85x = 273,437.56
  5. Step 5: Solve for x
    x = 273,437.56/456.85
  6. Step 6: Final answer
    x = 598.53

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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.