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Finding the Fourth Proportional to 662.84, 915.03 and 414.52

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Solution

The fourth proportional to 662.84, 915.03 and 414.52 is: 572.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.84 : 915.03 = 414.52 : x
  2. Step 2: Convert to fraction form
    662.84/915.03 = 414.52/x
  3. Step 3: Cross multiply
    662.84x = 915.03 × 414.52
  4. Step 4: Simplify right side
    662.84x = 379,297.20
  5. Step 5: Solve for x
    x = 379,297.20/662.84
  6. Step 6: Final answer
    x = 572.23

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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.