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Finding the Fourth Proportional to 466.48, 641.92 and 430

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Solution

The fourth proportional to 466.48, 641.92 and 430 is: 591.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.48 : 641.92 = 430 : x
  2. Step 2: Convert to fraction form
    466.48/641.92 = 430/x
  3. Step 3: Cross multiply
    466.48x = 641.92 × 430
  4. Step 4: Simplify right side
    466.48x = 276,025.60
  5. Step 5: Solve for x
    x = 276,025.60/466.48
  6. Step 6: Final answer
    x = 591.72

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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.