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Finding the Fourth Proportional to 452.64, 628.32 and 423.84

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Solution

The fourth proportional to 452.64, 628.32 and 423.84 is: 588.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.64 : 628.32 = 423.84 : x
  2. Step 2: Convert to fraction form
    452.64/628.32 = 423.84/x
  3. Step 3: Cross multiply
    452.64x = 628.32 × 423.84
  4. Step 4: Simplify right side
    452.64x = 266,307.15
  5. Step 5: Solve for x
    x = 266,307.15/452.64
  6. Step 6: Final answer
    x = 588.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.