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Finding the Fourth Proportional to 506.88, 700.08 and 433.44

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Solution

The fourth proportional to 506.88, 700.08 and 433.44 is: 598.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.88 : 700.08 = 433.44 : x
  2. Step 2: Convert to fraction form
    506.88/700.08 = 433.44/x
  3. Step 3: Cross multiply
    506.88x = 700.08 × 433.44
  4. Step 4: Simplify right side
    506.88x = 303,442.68
  5. Step 5: Solve for x
    x = 303,442.68/506.88
  6. Step 6: Final answer
    x = 598.65

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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.