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Finding the Fourth Proportional to 473.85, 651.24 and 425.25

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Solution

The fourth proportional to 473.85, 651.24 and 425.25 is: 584.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.85 : 651.24 = 425.25 : x
  2. Step 2: Convert to fraction form
    473.85/651.24 = 425.25/x
  3. Step 3: Cross multiply
    473.85x = 651.24 × 425.25
  4. Step 4: Simplify right side
    473.85x = 276,939.81
  5. Step 5: Solve for x
    x = 276,939.81/473.85
  6. Step 6: Final answer
    x = 584.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.