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Finding the Fourth Proportional to 452.16, 624.08 and 378.35

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Solution

The fourth proportional to 452.16, 624.08 and 378.35 is: 522.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.16 : 624.08 = 378.35 : x
  2. Step 2: Convert to fraction form
    452.16/624.08 = 378.35/x
  3. Step 3: Cross multiply
    452.16x = 624.08 × 378.35
  4. Step 4: Simplify right side
    452.16x = 236,120.67
  5. Step 5: Solve for x
    x = 236,120.67/452.16
  6. Step 6: Final answer
    x = 522.21

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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.