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Finding the Fourth Proportional to 597.81, 825.21 and 466.86

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Solution

The fourth proportional to 597.81, 825.21 and 466.86 is: 644.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.81 : 825.21 = 466.86 : x
  2. Step 2: Convert to fraction form
    597.81/825.21 = 466.86/x
  3. Step 3: Cross multiply
    597.81x = 825.21 × 466.86
  4. Step 4: Simplify right side
    597.81x = 385,257.54
  5. Step 5: Solve for x
    x = 385,257.54/597.81
  6. Step 6: Final answer
    x = 644.45

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1.5x scale

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.